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A person travels from Jaipur to Nagpur which is 450 km by three different vehicles. He travels 150 km by bus with a speed of 30 km / h and then waited for 20 minutes for the train and then travels another 150 km by train at a speed of 75 km / h and then waited for 40 minutes to travel further journey by car at a speed of 40 km / h to the final destination, find the average speed of the journey?

A person travels from Jaipur to Nagpur which is 450 km by three different vehicles. He travels 150 km by bus with a speed of 30 km / h and then waited for 20 minutes for the train and then travels another 150 km by train at a speed of 75 km / h and then waited for 40 minutes to travel further journey by car at a speed of 40 km / h to the final destination, find the average speed of the journey? Correct Answer 38.29 km / h

Given:

Total distance to travel = 450 km

150 km distance traveled by bus with a speed of 30 km / h

150 km distance traveled by train with a speed of 75 km / h

Speed of car = 40 km / h

He waited for 20 minutes and 40 minutes respectively

Formula used:

Time = distance / speed

Average speed = total distance / total time taken

Calculation:

Number of stops = 450 / 150 hour - (20 min + 40 min)

= 3 hour - 1 hour = 2 hour

Time is taken to reach from Delhi to Kanpur = distance traveled by bus / speed of bus + distance traveled by train / speed of train + distance traveled by car / speed of the car

Time taken to travel = (150 / 30 + 150 / 75 + 150 / 40)

= 10.75 h

Since he stops two times for 20 minutes and 40 minutes respectively.

Total time of journey = time taken to travel + waiting time

= 10.75 + (20 + 40) / 60

= 11.75 h

The Average speed of journey = total travelled distance / total time taken

= 450 / 11.75

= 38.29 km / h

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