In this section, you will learn, how to solve word problems on customary units.

**Problem 1 : **

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

**Solution : **

We know that,

1 hour = 60 minutes

1 mile = 1760 yards

**Given :** Distance covered in 2 hours is 60 miles.

Then, we have

Distance covered in 1 hour = 30 miles

Distance covered in 1 hour = 30 ⋅ 1760 yards

Distance covered in 60 minutes = 30 ⋅ 1760 yards

Distance covered in 60 minutes = 52800 yards

Distance covered in 1 minute = 52800 / 60 yards

Distance covered in 1 minute = 880 yards

So, David will cover 880 yards of distance in 1 minute.

**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

So, the speed of Mark is 352 feet per minute.

**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 larger unit (foot). **

**So we have to divide.**

Because, 1 foot is equal 12 inches, we have to use the fraction 1/12.

9 inches = 9 ⋅ 1/12 ft

9 inches = 3/4 ft

So, the length of the shoe is 3/4 ft.

**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 : **

**Given : Height of the television is 24 inches. **

**Height of the stand is**

** = 3 feet**

**= 3 **⋅** 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**

So, the top of the television is 60 inches far from the floor.

**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 **⋅ **5280 feet**

**2 miles = 10560 feet **

**Therefore,**

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

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

**Difference between (1) and (2) is **

**= 10560 - 10000**

**= 560 feet**

So, Becky ran farther by 560 feet.

**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 ⋅ 16 ounces = 384 ounces

1 hour 36 min -----> 24 pounds

96 minutes -----> 384 ounces

1 minute -----> 384/96 ounces

1 minute -----> 4 ounces

So, David prepares 4 ounces of metal in 1 minute.

**Problem 7 : **

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

So, the amount of metal used in 1 minute is 352.

**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 : **

**Amount of almonds handed out to 1 student is 4 ounces.**

**Total no. of ounces of almonds handed out for 22 students is **

** = 4 **⋅** 22**

**= 88 ounces **

**Convert ounces into pounds. **

**= 88/16 pounds**

**= 5.5 pounds**

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

**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 ⋅ 4 ounces of cheese

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

So, Tommy needs 112 ounces of cheese to make 28 pizzas.

**Problem 10 :**

Who is driving faster,

Lenin covers 6 miles in 2 minutes

or

Daniel covers 225 miles in 1.5 hours ?

**Solution : **

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

Distance in 2 min = 6 miles Distance in 1 min = 3 miles 1 hour = 60 minutes Distance in 1 hr = 60 ⋅ 3 Distance in 1 hr = 180 miles |
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.

So, Lenin is driving faster.

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