Answered

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One tank is filling at at a rate of 3/4 gallon per 2/3 minutes. A second tank is filling at a rate of 5/8 gallon per 1/2 minutes. Which tank is filling faster?

Sagot :

SecretIndex
3/4 times 3/2 (reciprocal of the second fraction) is 9/8 gallons per minute.
5/8 times 2/1 (reciprocal of the second fraction) is 10/8 gallons per minute

The second tank is filling faster.

Answer:

Step-by-step explanation:

Given

First tank is filling at a rate of [tex]\frac{3}{4}[/tex] gallon per [tex]\frac{2}{3}[/tex] minute i.e. per 40 sec

In 1 sec it fills [tex]\frac{3}{4\times 40}=\frac{3}{160} gallon[/tex]

For second tank

Filling at a rate of [tex]\frac{5}{8} per \frac{1}{2} minutes[/tex]

i.e. per 30 sec

in 1 sec it fills [tex]\frac{5}{8\times 30}=\frac{5}{240}[/tex]

[tex]\frac{5}{240}>{3}{160}[/tex]

thus second tank is filling at a faster rate.

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