Question

Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool?

Answer 1

This kind of problems requires to add the working velocities. The total velocity is the sum of the individual velocities.

Anita's velocity = 1 pool/8 hours
Chao's velocity = 1 pool/6 hours

Combined velocity 1/8 + 1/6 = (3 + 4)/24 = 7/24 pool/hour

Time = 1 pool / (7/24) pool/hour = 24/7 hour =3.43 hours

Answer 2

Work and time are inversely proportional to each other. Then the time taken by Anita and Chao will be 3 hours and 26 minutes.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Anita can clean a typical pool in 8 hours.

Chao can clean a typical pool in 6 hours.

Work and time are inversely proportional to each other. Then we have

Let x be the time taken.

1/x = 1/6 + 1/8

1/x = 7 / 24

  x = 24 / 7

  x = 3 hours and 26 minutes

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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