UNIT RATE WORD PROBLEMS WORKSHEET

Problem 1 :

In a business, if A can earn $ 7500 in 2.5 years, find the unit rate of his earning per month.

Problem 2 :

If David can prepare 2 gallons of juice in 4 days, how many  cups of juice can he prepare per day?

Problem 3 :

If John can cover 360 miles in 3 hours, find the number of miles covered by John in 1 minute.

Problem 4 :

75 basketballs cost $1,143.75. Find the unit rate in price per basketball.

Problem 5 :

In 36.5 weeks, Miguel raised $2,372.50 for cancer research. How was his unit rate in price per week?

Problem 6 :

Shanel walks 2/5 of a mile every 1/7 hour. Express her speed as a unit rate in miles per hour.

Problem 7 :

Declan use 2/35 of a gallon of gas for every 4/5 of a mile that he drives. At this rate, how many miles can he drive on one gallon of gas?

Problem 8 :

A person can cover a distance of 84 miles in 4 gallons of fuel. If he has 2.5 gallons, how many miles can he cover?

Problem 9 :

If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?

Problem 10 :

My David earns $416 in 8 hours. How much does earn in 2.8 hours?

Answers

1. Answer :

Given : Earning in 2.5 years  =  $ 7500.

1 year  =  12 months

2.5 years  =  2.5 x 12  =  30 months

Then, earning in 30 months  =  $ 7500.

Therefore, earning in 1 month :

=  7500/30

=  $250

So, the unit rate of his earning per month is $250.

2. Answer :

No of gallons of juice prepared in 4 days  =  2 gallons.

1 gallon  =  16 cups

So, no. of cups of juice prepared in 4 days :

=  2 ⋅ 16

=  32 cups

Therefore, David can prepare 32 cups of juice in 4 days. 

Then, no. of cups of juice prepared in 1 day :

=  32/4

=  8

So, David can prepare 8 cups of juice in 1 day.

3. Answer :

No of miles covered in 3 hours  =  360.

Then, no. of miles covered in 1 hour :

=  360/3

=  180

1 hour  =  60 minutes

So, no. of miles covered in 60 minutes  =  180.

Then, no. of miles covered 1 minute  =  180/60  =  3.

So, John can cover 3 miles in 1 minute.

4. Answer :

Given :75 basketballs cost $1,143.75.

Then, price pf one basket ball :

=  1143.75/75

=  15.25

So, the unit rate in price per basket ball is $15.25.

5. Answer :

Given : Miguel raised $2,372.50 in 36.5 weeks.

Then, amount raised in one week :

=  2372.5/36.5

=  65

So, the unit rate in price per week was $65.

6. Answer :

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

We know the formula for speed.

That is,  Speed  =  Distance/time

Speed  =  (2/5)/(1/7)

=  (2/5) ⋅ (7/1)

=  14/5

=  2.8 miles per hour

So, the speed of Shanel is 2.8 miles per hour.

7. Answer :

Given : In 2/35 of a gallon of gas, 4/5 of a mile is traveled

2/35 of a gallon of gas -----> 4/5 of a mile

1 gallon of gas -----> (4/5) ⋅ (35/2) miles

1 gallon of gas -----> 14 miles

So, Declan can drive 14 miles in 1 gallon of gas.

8. Answer :

Given : 84 miles can be traveled in 4 gallons.

Then, no. of miles traveled in 1 gallon  =  84/4  =  21.

Therefore, no. of miles traveled in 2.5 gallons is

=  21 ⋅ 2.5

=  52.5

So, 52.5 miles traveled in 2.5 gallons of fuel.

9. Answer :

Given : 8 cups in one month.

1 year  =  12 months

So, no. of cups in 1 year  =  8 ⋅ 12  =  96 cups

1 gallon  =  16 cups

Therefore, no. of gallons in 1 year  =  96/16  =  6 

So, he will drink 6 gallons of apple juice in 1 year.

10. Answer :

Given : Earning in 8 hours  =  $416

Earning in 1 hour  =  $52

Earning in 2.8 hours  =  52 ⋅ 2.8  =  145.6

So, Mr. David will earn $145.6 in 2.8 hours.

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