Answer :
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.
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.
