CONVERTING CUSTOMARY UNITS

About "Converting customary units"

"Converting customary units" is the stuff which is required to the students who would like to practice problems on the customary units like length, weight, capacity and time in the united states.

Converting customary units

Converting customary units - Practice problems

Problem 1 :

Convert 2 feet into inches.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 feet = 2 x 12 inches

2 feet = 24 inches

Hence, 2 feet is equal to 24 inches

Problem 2 :

Convert 3.5 yards into inches.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 yards = 3.5 x 36 inches

3.5 yards = 126 inches

Hence, 3.5 yards is equal to 126 inches

Problem 3 :

Convert 30 inches into feet.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

30 inches = 30 / 12 feet

30 inches = 2.5 feet

Hence, 30 inches is equal to 2.5 feet

Problem 4 :

Convert 5280 yards into miles.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5280 yards = 5280 / 1760 miles

5280 yards = 3 miles

Hence, 5280 yards is equal to 3 miles

Problem 5 :

Convert 24 feet into yards

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 feet = 24 / 3 yards

24 feet = 8 yards

Hence, 24 feet is equal to 8 yards

Problem 6 :

Convert 2 pounds into ounces.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 pounds = 2 x 16 ounces

2 pounds = 32 ounces

Hence, 2 pounds is equal to 32 ounces.

Problem 7 :

Convert 3.5 tons into pounds .

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 tons = 3.5 x 2000 pounds

3.5 tons = 7000 pounds

Hence, 3.5 tons is equal to 7000 pounds.

Problem 8 :

Convert 0.5 tons into ounces.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

0.5 tons = 0.5 x 2000 pounds

0.5 tons = 1000 pounds

0.5 tons = 1000 x 16 ounces

0.5 tons = 16000 ounces

Hence, 0.5 tons is equal to 16000 ounces.

Problem 9 :

Convert 48 ounces into pounds.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

48 ounces = 48 / 16 pounds

48 ounces = 3 pounds

Hence, 48 ounces is equal to 3 pounds.

Problem 10 :

Convert 5000 pounds into tons

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5000 pounds = 5000 / 2000 tons

5000 pounds = 2.5 tons

Hence, 5000 pounds is equal to 2.5 tons.

Problem 11 :

Convert 2 pints into cups.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 pints = 2 x 2 cups

2 pints = 4 cups

Hence, 2 pints is equal to 4 cups.

Problem 12 :

Convert 3.5 quarts into cups .

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 quarts = 3.5 x 4 cups

3.5 quarts = 14 cups

Hence, 3.5 quarts is equal to 14 cups.

Problem 13 :

Convert 32 cups into quarts.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

32 cups = 32 / 4 quarts

32 cups = 8 quarts

Hence, 32 cups is equal to 8 quarts.

Problem 14 :

Convert 256 cups into gallons.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

256 cups = 256 / 16 gallons

256 cups = 16 gallons

Hence, 256 cups is equal to 16 gallons.

Problem 15 :

Convert 24 quarts into gallons

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 quarts = 24 / 4 gallons

24 quarts = 6 gallons

Hence, 24 quarts is equal to 6 gallons.

Problem 16 :

Convert 2 minutes into seconds.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 minutes = 2 x 60 seconds

2 minutes = 120 seconds

Hence, 2 minutes is equal to 60 seconds.

Problem 17 :

Convert 3.5 hours into minutes .

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 hours = 3.5 x 60 minutes

3.5 hours = 210 minutes

Hence, 3.5 hours is equal to 210 minutes.

Problem 18 :

Convert 3 days into minutes.

Solution :

Here, we convert bigger unit into smaller unit unit. So we have to multiply.

3 days = 3 x 24 hours

3 days = 72 hours

3 days = 72 x 60 minutes

3 days = 4320 minutes

Hence, 3 days is equal to 4320 minutes.

Problem 19 :

Convert 480 seconds into minutes.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

480 seconds = 480 / 60 minutes

480 seconds = 8 minutes

Hence, 480 seconds is equal to 8 minutes.

Problem 20 :

Convert 112 days into weeks.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

112 days = 112 / 7 weeks

112 days = 16 weeks

Hence, 112 days is equal to 16 weeks.

Converting customary units - Word problems

Problem 1 :

David travels 60 miles in two hours. How many yards of distance will he cover in one minute ?

Solution :

Distance covered in 2 hours = 60 miles

Distance covered in 1 hour = 30 miles

We know that 1 hour = 60 minutes and 1 mile = 1760 yards

1 hour -----> 30 miles =====> 60 minutes -----> 30 x 1760 yards

60 minutes -----> 52800 yards

So, distance covered in 60 minutes = 52800 yards

Distance covered in one minute = 52800 / 60 yards

= 880 yards

Hence 880 yards of distance covered in 1 minute.

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Problem 2 :

Mark jogged 15840 feet in 45 minutes. Find the speed of Mark in feet per minute.

Solution :

Speed = Distance / Time

Speed = 15840 / 45

Speed = 352 feet per minute

Hence the speed of Mark is 352 feet per minute.

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Problem 3 :

Use a fraction to find the length in feet of a shoe that is 9 inches long.

Solution :

Here, we convert smaller unit (inches) into bigger unit (foot). So we have to divide.

Since we divide, we have to use the fraction 1/12.

Because, 1 foot = 12 inches

9 inches = 9 x 1/12 ft

9 inches = 3/4 ft

Hence 9 inches is equal to 3/4 ft.

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Problem 4 :

Kevin has a new television that is 24 inches tall. If Kevin sets the television on a 3-foot-tall stand, how far from the floor will the top of the television be (in inches) ?

Solution :

Height of the television = 24 inches

Height of the stand = 3 feet = 3 x 12 = 36 inches

Distance from the floor to the top of the television is

= Height of the stand + Height of the television

= 36 + 24

= 60 inches

Hence the top of the television is 60 inches far from the floor.

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Problem 5 :

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 10,000 feet. Becky’s treadmill said she had run 2 miles. Who ran farther, and how much farther?

Solution :

Both Becky and Keith took the same amount of time. That is 20 minutes.

Distance covered by Becky and Keith are given in different units. (Miles and Feet)

We have to make the units to be same.

Let us convert miles in to feet.

So, 2 miles = 2 x 5280 feet = 10560 feet

Therefore,

Distance covered by Becky = 10560 feet -----(1)

Distance covered by Keith = 10000 feet -----(2)

Difference between (1) and (2) ----> 10560 - 10000 = 560 feet

Hence Becky ran farther by 560 feet.

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Problem 6 :

David prepares 24 pounds of metal in 1 hour 36 minutes. At the same rate, How many ounces of metal will he prepare in one minute ?

Solution :

1 hour 36 minutes = 60 min + 36 min = 96 minutes

1 pound = 16 ounces

24 pounds = 24 x 16 ounces = 384 ounces

1 hour 36 min -----> 24 pounds ====> 96 minutes ----> 384 pounds

So, no. of pounds prepared in 96 minutes = 384 ounces

No. of ounces prepared in in one minute = 384 / 96

= 4

Hence 4 ounces of metal is prepared in one minute.

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Problem 7 :

Mark used 15840 ounces of metal to make an alloy in 45 minutes. Find the amount metal used in one minute (in ounces).

Solution :

No. of ounces used in 45 minutes = 15840

No. of ounces used in 1 minute = 15840 / 45

No. of ounces used in 1 minute = 352

Hence 352 ounces of metal used in 1 minute.

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Problem 8 :

Mrs. Moore handed out 4 ounces of almonds to each of her 22 students . How many pounds of almonds did Mrs. Moore hand out?

Solution :

Total no. of ounces of almonds handed out = 4 x 22 = 88 ounces

Total no. of pounds of almonds handed out = 88 / 16 = 5.5 lb

Hence, Mrs. Moore handed out 5.5 pounds of almonds.

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Problem 9 :

Tommy uses 4 ounces of cheese in each pizza he makes. How many pounds of cheese does Tommy need to make 28 pizzas ?

Solution :

1 pizza -----> 4 ounces of cheese

28 pizzas -----> 28 x 4 ounces of cheese

28 pizzas ------> 112 ounces of cheese

Hence Tommy needs 112 ounces of cheese to make 28 pizzas.

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Problem 10 :

A standard elevator in a mid rise building can hold a maximum weight of about 1.5 tons. Assuming an average adult weight of 150 pounds, what is the maximum number of adults who could safely ride the elevator ?

Solution :

First let us convert 1.5 tons into pounds

1.5 tons = 1.5 x 2000 = 3000 pounds

So, the elevator can hold 3000 pounds of weight.

If the average weight of an adult is 150 pounds,

Maximum no. of adults could safely ride the elevator is

= 3000/150

= 20

Hence, maximum number of adults who could safely ride the elevator is 20.

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Problem 11 :

David prepares 60 pints of juice in two hours. At the same rate, How many cups of juice will he prepare in one minute ?

Solution :

No. of pints prepared in 2 hours = 60

No. of pints prepared in 1 hour = 30

We know that 1 hour = 60 minutes and 1 pint = 2 cups

1 hour -----> 30 pints =====> 60 minutes -----> 30 x 2 cups

60 minutes -----> 60 cups

So, no. of cups prepared in 60 minutes = 60

No. of cups prepared in in one minute = 60 / 60

= 1 cup

Hence 1 cup of juice is prepared in 1 minute.

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Problem 12 :

Mark used 15840 cups of fuel in 45 minutes. Find the amount fuel used in one minute (in cups).

Solution :

No. of cups used in 45 minutes = 15840

No. of cups used in 1 minute = 15840 / 45

No. of cups used in 1 minute = 352

Hence 352 cups of fuel used in 1 minute.

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Problem 13 :

Kemka's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of water in the bath tub. If bathtub has 12 gallons of water, how many drops can she put into the bath for her sister?

Solution :

Half gallon of water -------> 1 drop of bubble bath

1 gallon of water -------> 2 drops of bubble bath

12 gallons of water -------> 12 x 2 drops of bubble bath

12 gallons of water -------> 24 drops of bubble bath

Hence, Kemka can put into 24 drops of bubble bath for her sister with 12 gallons of water.

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Problem 14 :

Ivan needs gas for his truck. He knows his truck holds 40 gallons of gas. If he is allowed to fill up 8 quarts of gas once in a time, how many times will he have to fill up his gas can to get his truck full of gas ?

Solution :

1 gallon = 4 quarts

40 gallons = 40 x 4 quarts = 160 quarts

So, he needs 160 quarts of gas to make his truck full of gas.

Once in a time, he can fill up 8 quarts of gas.

No. of times of filling to make the truck full of gas is

= 160 / 8

= 20

Hence Ivan has to fill up his gas can 20 times to get his truck full of gas.

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Problem 15 :

A bath hols 83 gallons and a shower uses 34 gallons.Mrs. Hitchins has a bath. How much water will be saved if Mrs. Hitchins decides to have a shower ?

Solution :

No. of gallons used when Mrs. Hitchins has a bath = 83 ----(1)

No. of gallons used when Mrs. Hitchins has a shower = 34 ----(2)

Water saved = Dbetween (1) and (2)

Water saved = 83 - 34

Water saved = 49

Hence, 49 gallons water will be saved if Mrs. Hitchins decides to have a shower.

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Problem 16 :

Mrs. Moore took 4 hours 30 minutes to complete a work. How many seconds will Mrs. Moore take to complete the same work ?

Solution :

4 hours 30 minutes = 4x60 min + 30 min

4 hours 30 minutes = 240 min + 30 min

4 hours 30 minutes = 270 minutes

4 hours 30 minutes = 270 x 60 seconds

4 hours 30 minutes = 16200 seconds

Hence, Mrs. Moore will take 16200 seconds to complete the same work.

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Problem 17 :

Tommy takes 10 minutes time for each pizza he makes. How many seconds will he take to make 4 pizzas ?

Solution :

1 pizza -----> 10 minues

4 pizzas -----> 4 x 10 minutes

4 pizzas ------> 40 minutes

4 pizzas ------> 40 x 60 seconds

4 pizzas ------> 2400 seconds

Hence Tommy will take 2400 seconds to make 4 pizzas.

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Problem 18 :

A piece of work can be done by Mr. David in 9 days working 10 hours per day. How many hours will be taken by Mr. David to complete another work which is 4 times the first one ?

Solution :

Time needed to complete the given work = 9 x 10 hours

= 90 hours

Time needed to complete another work which is 4 times the first first work is

= 4 x 90 hours

= 360 hours

Hence, the required time is 360 hours.

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Problem 19 :

Jose needs 6 hours to complete a work. But Jacob need 3/4 of time taken by Jose to complete the same work. In how many minutes will Jose complete the work ?

Solution :

Time required for Jose = 6 hours

Time required for Jacob = 3/4 of time taken Jose

Time required for Jacob = (3/4) x 6 hours

Time required for Jacob = (3/4) x 6 x 60 minutes

Time required for Jacob = 270 minutes

Hence, Jacob needs 270 minutes to complete the work.

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Problem 20 :

Who is driving faster,

Lenin covers 6 miles in 2 minutes

Daniel covers 225 miles in 1.5 hours ?

Solution :

To compare the given measures, convert them in to unit rates in distance per hour.

Lenin

Distance in 2 min = 6 miles

Distance in 1 min = 3 miles

1 hour = 60 minutes

Distance in 1hr = 60x3

Distance in 1 hr = 180 miles

Daniel

Distance in 1.5 hrs =225 miles

Distance in 1 hr = 225 / 1.5

Distance in 1 hr = 150 miles

From the above unit rates, Lenin covers more miles than Daniel per hour.

Hence, Lenin is driving faster.

After having gone through the problems explained above, we hope that the students would have understood the stuff given on "Converting customary units".

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