Question

irina rode her bike to work at an average speed of 16 miles per hour. it started to rain, so she got a ride home along the same route in her coworkers car at an average speed of 27 miles per hour. if irinas ride home in the car took 24 minutes (0.4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour? 0.7 of an hour 0.6 of an hour 0.2 of an hour 0.4 of an hour

Explanation:

Step1: Find distance of home route

We know that distance \(d = speed\times time\). The speed of the car is 27 miles per hour and time is 0.4 hours. So, \(d = 27\times0.4\)
\(d = 10.8\) miles.

Step2: Find time for bike ride

The distance for bike ride is the same as the car ride, which is 10.8 miles. The speed of bike is 16 miles per hour. Using \(time=\frac{distance}{speed}\), we have \(time=\frac{10.8}{16}\)
\(time = 0.675\approx0.7\) (to the nearest tenth).

Answer:

0.7 of an hour