Question

A motorist is pumping gas into his car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas will he have pumped into his car in 1.5 of a minute?151020

Answer 1

We are told that the motorist is pumping gas at a rate of 5/12 of a gallon every 1/24 of a minute.

To find the rate in gallons per minute, we need to divide these two quantities:

`(5)/(12)/(1)/(24)`

To divide the fractions we follow this rule:

`(a)/(b)/(c)/(d)=(a* d)/(b* c)`

We need to cross multiply the numbers in the fractions.

Going back to our division to find the rate in gallons per minute:

`(5)/(12)/(1)/(24)=(5*24)/(12*1)\text{gallons/min}`

solving the operations: