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 minutes (0.4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour?

0.2 of an hour
0.4 of an hour
0.6 of an hour
0.7 of an hour

0.7 of an hour

Step-by-step explanation:

Average Speed tells the rate at which the object is traveling his whole journey.

Let the distance of Irina's home to her work be "x" miles.

Also, the time is taken for traveling from Irina's home to her work be "t" hours.

Then, we can write average speed of 16 miles per hour as                                                                   →      (1)

Also, Average speed of car is 27 miles per hours in 0.4 of an hour, which can be written as                        →        (2)

∴ Distance(x) = 0.4 × 27 = 10.8 miles

Using this value of x in equation (1)

We get time (t) = 10.8 ÷ 16 = 0.675 ≈ 0.7 of an hour

Hence, last option is true.

126 maybe. sorry