Question

You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way home. The total ride time is 22 minutes. How far away is school? Round your answer to the nearest hundredth of a mile.

Answer 1

The distance of the school round to the nearest hundredth is given as 2.44 miles

How to find the distance

We have the average mile to school = 12 miles

From the school we have 15 miles

This is measured per hour

Such that the ride time is going to be 22 miles /60

= 0.3667

The formula for speed is given as distance / time

Then the time = distance / speed

We have to formulate this equation

d/12 + d/15 = 0.3667

When we solve the equation above we would have

15d + 12d /180= 0.3667

=  (5d + 4d) / 60 = 0.3667

(5d + 4d) = 0.3667*60

9d = 22.002

divide through by d

d = 22.002/9

d = 2.44 miles

The distance of the school round to the nearest hundredth is given as 2.44 miles

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