Question

One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster?

Answer 1

First tanks

Explanation:

Rate for the first tank

One tank is filling at a rate of 5/8 gallon per 7/10 hour.

= 5/8 gallon ÷ 7/10 hour

= 5/8 ×10/7 (gallon/hour)

= 25/28 gallon/hour

= 0.8928571429 gallon /hour

Rate for the second tank

A second tank is filling at a rate of 5/9 gallon per 2/3 hour.

5/9 gallon ÷ 2/3 hour

5/9 × 3/2 (gallon per hour)

= 5/6 (gallon per hour)

= 0.8333333333 gallon/hoir

The tank that is filling faster the first tank at the rate of 0.8928571429 gallon /hour