Aprofessional driver drove a long linear route at an average speed of 30 miles per hour. immediately after completing this drive, the driver turned around drove back on the same route at an average speed of 70 miles per hour. if the round trip took 2 hours, how many miles long is this route?

The route was 42 miles long.

Explanation:

Let the distance covered from starting point to end point be x.

Average speed of the car = 30 mile/hour

Time taken to cover x distance = t

The distance covered from end point point to starting point back = x

Average speed of the car = 70 mile/hour

Time taken to cover x distance = t'

Average speed of the car:

Total time taken in round trip  = 2 hours

Total distance covered by car= 42 mile/hr × 2 hr = 84 miles

Distance of the route = 84 ÷ 2 = 42 mile