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?

You need to figure out what the actual rates in gph are    gph  =  gallons per hour =  gals/hours

 

The FIRST tank rate   is   what?

 

(5/8 gallons)/ ( 7/10 Hours)            Clear?

 

(5/8)/(7/10)  gals/hour   =   ?

 

5/8 x  10/7  =50/56= .892857  gph        Now do the same for the SECOND tank and see which one is greater!

 

 

 

 

 

 

 

Second tank     (5/9)/(2/3) =  5/9 x 3/2 = 15/18= .83333 gph      Now ...Which one is greater (faster)?