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 coworker’s car at an average speed of 27 miles per hour. If Irina’s ride home in the car took 24 minuets (0.4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour?

Answer 1

Her bike ride to work, to the nearest tenth of an hour was 0.7 hours

Explanation

Irina’s ride home in the car took 0.4 hours at an average speed of 27 miles per hour.

We know that, $Distance= speed *time$

So, the distance from her home to work will be:  $(27*0.4)miles= 10.8$ miles.

Now, the average speed of her bike is 16 miles per hour.

So, the time required to rode the bike for 10.8 miles will be:  $\frac{Distance}{speed}=\frac{10.8}{16}hours= 0.675hours \approx 0.7 hours$

Answer 2

Answer:

0.7 hours

Step-by-step explanation:

From the way back, we can calculate the distance between Irina's work and Irina's home. In fact, we know that the car takes 0.4 hours traveling at 27 mph, so the distance covered should be

When Irina rides to work on her bike, she travels at a speed of 16 mph. So we can find the time she takes by dividing the total distance (10.8 miles) by her speed: