irina rode her bike to work at an average speed of 16 miles per hour. it started to rain, so she got a ride…

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?\no 0.2 of an hour\no 0.4 of an hour\no 0.6 of an hour\no 0.7 of an hour

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?\no 0.2 of an hour\no 0.4 of an hour\no 0.6 of an hour\no 0.7 of an hour

Answer

Explanation:

Step1: Calculate the distance of the route

Since distance = speed × time, and the speed of the car is 27 miles per hour and the time is 0.4 hours. So the distance $d = 27\times0.4$. $d=27\times0.4 = 10.8$ miles.

Step2: Calculate the time of the bike - ride

We know that for the bike - ride, speed $v = 16$ miles per hour and distance $d = 10.8$ miles. Using the formula time $t=\frac{d}{v}$, we have $t=\frac{10.8}{16}$. $t=\frac{10.8}{16}=0.675\approx0.7$ hours.

Answer:

0.7 of an hour