**Using proportions worksheet :**

Worksheet on using proportions is much useful to the students who would to practice solving real world problems on proportions.

1. The distance Ali runs in 40 minutes is 3 miles. At this rate, how far can he run in 60 minutes ?

2. Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the same amount of time. The first 4 sprinklers run for a total of 50 minutes. How long does it take to water her entire lawn ?

**Problem 1 :**

The distance Ali runs in 40 minutes is 3 miles. At this rate, how far can he run in 60 minutes ?

**Solution :**

Let "A" be the number of miles that he can run in 60 minutes.

From the given information, we can write the following proportion.

In the proportion

40 : 3 = 60 : A

the extremes are 40 & A and means are 3 & 60.

Let us apply cross product rule.

40A = 3 x 60

Dividing by 40 on both sides, we get

A = 180 / 40

A = 9/2 or 4 1/2

At this rate, Ali can run 9/2 miles, or 4 1/2 miles, in 60 minutes.

**Problem 2 :**

Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the same amount of time. The first 4 sprinklers run for a total of 50 minutes. How long does it take to water her entire lawn ?

**Solution :**

Let "T" be the time takes to water the entire lawn.

From the given information, we can write the following proportion.

In the proportion

50 : 4 = T : 10

the extremes are 50 & 10 and means are 4 & T.

Let us apply cross product rule.

50 x 10 = 4T

Dividing by 4 on both sides, we get

500 / 4 = T

125 = T

Hence, it takes 125 minutes or 2 hours 5 minutes to water her entire lawn.

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