Amotorist 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? 1 5 10 20

First, calculate the unit rate, that is, how much gas is pumped into his car after 1 minute. We do this by dividing how much gas he pumps by the 1/24 of a minute:

When we divide fractions we flip the one we're dividing by and multiply:

Now multiply the numerators and denominators together:

Divide:

So he pumps 10 gallons of gas in his car every minute. We can multiply 1.5 to our unit rate to calculate how many gallons he pumps in his car after 1.5 minutes:

So he'll pump 15 gallons of gas into his car after 1.5 minutes.

1.5 = 3/2 = 36/24 minutes

Since rate of pump is 5/12 gallons per 1/24 minutes,
at 36/24 minutes, amount of gas that would have been pumped would be: 5/12 gallons × 36 = 180/12 gallons = 15 gallons (which is none of the answers above)