Help pls
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?

A) 0.2 of an hour
B) 0.4 of an hour
C) 0.6 of an hour
D) 0.7 of an hour

Question

Help pls
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?

A) 0.2 of an hour
B) 0.4 of an hour
C) 0.6 of an hour
D) 0.7 of an hour

Hero · Answer

@asumi, have you started solving this yet? If so, how far did you get?

asumi · Answer

Well I used d to represent distance and we know that she goes an average speed of 16 mph and her coworkers car is going at an average speed of 27 mph and took the car 0.4 of an hour so to find the distance it should be
d = (27 mph)(0.4 hr) = 10.8 miles
since distance=rate*time it should be
10.8 miles=(16mph)(time)

10.8 miles
   time=
<hr class="bbcode_rule" />
=0.675 hour(40.5 minutes)
              16 mph

would this be the correct way of solving this problem or is there another method that i should use.

Hero · Answer

0.675 hr is correct. You need to round that to the nearest tenth.

asumi · Answer

Okay, thank you.