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:

$\frac{5}{12}\div\frac{1}{24}$

To divide the fractions we follow this rule:

$\frac{a}{b}\div\frac{c}{d}=\frac{a\times d}{b\times c}$

We need to cross multiply the numbers in the fractions.

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

$\frac{5}{12}\div\frac{1}{24}=\frac{5\times24}{12\times1}\text{gallons/min}$

solving the operations:

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