Question

Joe is trying to soup up his dragster. He knows that the time needed for the car to go from 0 to 100 miles per hour varies inversely with the car's horsepower. At 200 horsepower, the car can go from 0 to 100 mph in 12 seconds. How long should the car take if he can increase the horsepower to 240 hp?

Answer 1

here,
pickup time is inversely proportional to horsepower.

\[\huge{time\ \alpha\ \frac{1}{horsepower}}\]

\[\huge{time\ = \ k\frac{1}{horsepower}}\]

Answer 2

its given that car takes 12 seconds with 200 horsepower

\[\huge{12\ = \ k\frac{1}{200}} \]

\[\huge{k = 2400}\]

Answer 3

plugin "k" value in above formula
\[\huge{time\ = \ 2400\frac{1}{horsepower}} \]

Answer 4

we need to find how much time it takes for the car to pickup 100 miles with a horsepower of 240

just plugin "horsepower = 240" in above formula and simplify

Answer 5

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