# A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. If the total time of travel is 40 min find the average speed of the man for the whole journey.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

1. 5 km/h
2. 25/4 km/h
3. 30/4 km/h
4. 45/8 km/h

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. If the total time of travel is 40 min the average speed of the man for the whole journey is 5.625 km/hr.

### Steps to Calculate the Average Speed of the man for the whole Journey

Step 1: It is given that

Total time of travel = 40 min

Distance between the market and home = 2.5 km

Speed = 5 km/h and 7.5 km/h

Step 2: Now we have to find the average speed

The time taken from home to market is

time = d/V = 2.5/2 = ½ hour = 30 minutes

He takes the remaining time, or 10 minutes, to return at a speed of 7.5 km/h.

(Total trip time is 40 minutes, including the 30 minutes spent at the market; there are 10 minutes left.)

Distance = 7.5 x 10/60 = 1.25 km

The formula is given by,

Average speed = Total distance/ Total time

= (2.5 + 1.25)km/ (40/60) hour

= 45/8

= 5.625 km/hr

Therefore, the average speed of man is 5.625 km/hr

Summary:

## A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. If the total time of travel is 40 min find the average speed of the man for the whole journey.

A man travels at a speed of 5 km/h down a straight road from his home to a market located 2.5 km away. He immediately turns around and walks back home at a speed of 7.5 km/h after discovering the market is closed. The average speed of the man for the entire voyage is 5.625 km/hr if the total travel time is 40 minutes.

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