Question

A train travels some distance with the speed of 30 km per hour and returns with a speed of 45 km per hour calculate the average speed of the train

Answer 1

Answer:

The average speed of a train travelling at 36 km/h to and 45 km/h from its destination is 40 km/h

Explanation:

Let the distance between the two points be x km.

Step 1: Write down the relevant formula for getting the average speed.

Average speed = Total distance/Total time

Step 2: Calculate the time taken for the two trips.

Time = Distance / Speed.

Time taken to the destination = x/30

Time taken back = x/45

Step 3 : Calculate the total distance and total time for the entire journey.

Total distance = 2 × x = 2x

Total time = x/36 + x/45 = x/20 hours

Step 4 : Apply the formula to get the average speed.

Average speed = 2x / (x/20)

= 20/x × 2x = 40 km/h