A girl rides her bicycle to school at an average speed of 8 mph. She returns to her house using the same
route at an average speed of 12 mph. If the round trip took 1 hour, how many miles is the round trip.
Detailed solution please?

Question

A girl rides her bicycle to school at an average speed of 8 mph. She returns to her house using the same
route at an average speed of 12 mph. If the round trip took 1 hour, how many miles is the round trip.
Detailed solution please?

anonymous · Answer

Let the distance be x miles.

Hence, at the time of going time taken is x/8 Hrs
At the time of coming back time taken is x/12 Hrs
Hence $$\frac{x}{8} + \frac{x}{12} = 1$$
=> x = 4.8 miles (ans)

anonymous · Answer

It says the answer is 9 3/5