"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.
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.
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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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