CONVERTING CUSTOMARY UNITS WORD PROBLEMS WORKSHEET

Problem 1 : 

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 ?

Problem 2 : 

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

Problem 3 : 

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 ?

Problem 4 : 

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 ?

Problem 5 : 

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

Problem 6 : 

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

Problem 7 : 

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 ?

Problem 8 : 

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 ? 

Answers

1. Answer :

First let us convert 1.5 tons into pounds 

1.5 tons  =  1.5 ⋅ 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

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

2. Answer :

No. of pints prepared in 2 hours  =  60

No. of pints prepared in 1 hour  =  30  

We know that, 

1 hour  =  60 minutes

1 pint  =  2 cups

1 hour -----> 30 pints

60 minutes -----> 30 ⋅ 2 cups

60 minutes -----> 60 cups

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

No. of cups prepared in in one minute is 

=  60 / 60  

=  1 cup

So, 1 cup of juice is prepared in 1 minute.

3. Answer :

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

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

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

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

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

4. Answer :

1 gallon  =  4 quarts

40 gallons  =  40 ⋅ 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

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

5. Answer :

4 hours 30 minutes  =  4 ⋅ 60 min + 30 min

4 hours 30 minutes  =  240 min + 30 min

4 hours 30 minutes  =  270 minutes

4 hours 30 minutes  =  270 ⋅ 60 seconds

4 hours 30 minutes  =  16200 seconds

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

6. Answer :

1 pizza -----> 10 minutes

4 pizzas -----> 4 ⋅ 10 minutes

4 pizzas ------> 40 minutes

4 pizzas ------> 40 ⋅ 60 seconds

4 pizzas ------> 2400 seconds

So, Tommy will take 2400 seconds to make 4 pizzas. 

7. Answer :

Total number of hours required for David to complete the given work is

=  No. of days ⋅ No. of hours per day

=  9 ⋅ 10 hours

=  90 hours

Total number of hours required for David to complete a work which is 4 times the first one is

=  4 ⋅ 90 hours

=  360 hours

So, the required time is 360 hours. 

8. Answer :

Time required for Jose  =  6 hours

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

Time required for Jacob  =  3/4 ⋅ 6 hours

Time required for Jacob  =  3/4 ⋅ 6 ⋅ 60 minutes

Time required for Jacob  =  270 minutes

So, Jacob needs 270 minutes to complete the work. 

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