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?

0.7 hours

Step-by-step explanation:

We know distance = rate * time, or  

Since, the route is same, the Distance is same for both legs of the journey.

Let's call the first leg as    and second leg as  

Therefore, using the distance formula above, we can write:

Substituting   ,   ,  and  [given in the problem] into this equation and solving for    gives us:

 hours

Rounding to the nearest tenth of an hour, that is :

 hours

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