Question

The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?

Answer 1

The time it will take is 13 hours

Explanation:

From the given statement, we can generate the following inverse proportion relationship between t and s

t ∝ 1/s

`t = (k)/(s) \\\\where;\\\\k \ is \ constant\\\\k = t_1s_1 = t_2s_2 \\\\t_2 = (t_1s_1)/(s_2) \\\\t_2 = (12 * 52)/(48) \\\\t_2 = 13 \ hours`

The time it will take is 13 hours