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 in1/2 of a minute?

Answer 1

Answer:

5 gallons

Step-by-step explanation:

We can use ratios to solve

5/12 gallon        x gallons

----------------  = -------------------

1/24 minute       1/2 minute

Using cross products

5/12 * 1/2 = x *1/24

5/24 = x/24

Multiply each side by 24

24*5/24 = x/24*24

5=x

We can pump 5 gallons

Answer 2

Find how many 1/24's are in 1/2:

1/2 / 1/24 = 1/2 * 24/1 = 24/2 = 12

There are 12 1/24's in 1/2.

Multiply 5/12 by 12:

5/12 * 12 = (5*12) /12 = 60/12 = 5

It will be 5 gallons.