A truck driver travels at an average speed of 65 miles per hour on a 200-mile trip to pick up a load of freight. On the return trip (with the truck fully loaded), the average speed is 45 miles per hour. What is the average speed for the round trip? (Round your answer to one decimal place.)

Respuesta :

Answer:

53.2 mph

Step-by-step explanation:

A truck driver travels at an average speed of 65 miles per hour on a 200 miles trip to collect a load of freight

On the return trip the average speed is 45 miles per hour

Average speed= total distance/total time

The first step is to calculate the total time

Time spent when going on the trip(t1) can be calculated as follows

200 = 65 × t1

t1= 200/65

t1= 3.0769 hrs

The time spent when returning from the trip can be calculated as follows

200 = 45 × t2

t2= 200/45

t2= 4.44 hrs

Total time = 3.0769 hrs + 4.44hrs

= 7.521 hrs

The total distance can be calculated as follows

= 2×200

= 400

Therefore the average speed for the round trip can be calculated as follows

= 400/7.521

= 53.2 mph

Hence the average speed for the round trip is 53.2 mph