Question

working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. if it takes 40 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?​

Answer 1

120 minutes

Explanation:

large horse + small horse = together

1 pool/40 minutes + x = 1pool/30 minutes

1/40 + x = 1/30

subtract 1/40 from both sides

x = 1/30 - 1/40

use 120 as common denominator

x = 4/120 - 3/120

x = 1/120

x = 1 pool / 120 minutes

It takes the small horse 120 minutes