CUSTOMARY UNITS OF TIME

About "Customary units of time"

"Customary units of time" is a system of measurements commonly used for time in the united states. 

For measuring time , the U.S. customary system uses the second, minute, hour, day, week, month and year which are the only seven customary time measurements in everyday use. 

The relationship among the measurements second, minute, hour, day, week, month and year are given below.

Customary units of time - Conversion

Customary units of time - Practice problems

Problem 1 :

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 2 :

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 3 :

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 4 :

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  =  6 minutes

Hence, 480 seconds is equal to 6 minutes. 

Problem 5 :

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.

Customary units of time - Word problems

Problem 1 : 

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. 

Let us look at the next word problem on "Customary units of time"

Problem 2 : 

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. 

Let us look at the next word problem on "Customary units of time"

Problem 3 : 

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. 

Let us look at the next word problem on "Customary units of time"

Problem 4 : 

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. 

Let us look at the next word problem on "Customary units of time"

Problem 5 : 

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. 

Let us look at the next word problem on "Customary units of time"

Problem 6 :

A is 3 times as fast as B and is able to complete the work in 30 days less than B. Find the time in which they can complete  the work together. 

Solution :

A & B working capability ratio = 3 : 1

A & B time taken ratio = 1 : 3

From the ratio, time taken by A = k and time taken by B = 3k

From "A takes 30 days less than B", we have 

3k - k = 30

2k = 30 ===> k = 15

Time (A) = 15 days, Time (B) = 3x15 = 45 days

LCM (15, 45) = 45

Total work = 45 units

A can do =  45 / 15 =  3 units/day

B can do = 45 / 45 =  1 unit/day

(A + B) can do = 4 units per day 

No. of days taken by (A+B) to complete  the same work

= 45 / 4 

= 11 1/4 days

Hence, they will take 11 1/4 days to complete the work together. 

Let us look at the next word problem on "Customary units of time"

Problem 6 : 

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. 

Let us look at the next word problem on "Customary units of time"

Problem 7 : 

Robert is allowed to complete a work 2 hours. If the time is reduced by 25%, in how many minutes will he complete the same work ? 

Solution : 

Time taken by Robert to complete the work  =  2 hours

If the time is reduced by 25%,  

Time taken by Robert to complete the work  =  75% of 2 hours

=  0.75 x 2 x 60 minutes

=  90 minutes

Hence, Robert will take 90 minutes to complete the work. 

Let us look at the next word problem on "Customary units of time"

Problem 8 :

Who is better in earning,

David earns $57.60 in 8 hours

or 

John earns $90 in 12 hours ?

Solution : 

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

David

Earning in 8 hrs  =  $57.60

Earning in 1 hr  =  57.60 / 8

Earning in 1 hr  =  $7.20

John

Earning in 12 hrs = $90

Earning in 1 hr  =  90 / 12

Earning in 1 hr  =  $7.50

From the above unit rates, John earns more than David per hour. 

Hence, John is earning better.

Let us look at the next word problem on "Customary units of time"

Problem 9 :

Who is better in walking,

  Shanel walks 2/ 5 of a mile every 1/7 hour.  

or 

Declan walks 3/5 of a mile every 2/7 hour ?

Solution : 

To compare the given measures, convert them in to unit rates in miles per hour (speed).

Speed  =  Distance / Time

Shanel

Speed  =  (2/5)  /  (1/7)

Speed  =  (2/5)  x  (7/1)

Speed  =  14 / 5

Speed  =  2.8 miles per hour

Declan

Speed  =  (3/5)  /  (2/7)

Speed  =  (3/5)  x  (7/2)

Speed  =  21 / 10

Speed  =  2.1 miles per hour

From the above unit rates, Shanel walk more miles than Declan per hour. 

Hence, Shanel is better in walking.

Let us look at the next word problem on "Customary units of time"

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. 

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 "Customary units of time". 

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