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A man takes 10 hours to go to a place and come back, by walking both ways at constant speed He could have gained 2 hours by riding both the ways at a constant speed, The distance covered in the whole journey is 18 miles. Find the average speed for the whole journey if he goes by walking and comes back by riding.

A man takes 10 hours to go to a place and come back, by walking both ways at constant speed He could have gained 2 hours by riding both the ways at a constant speed, The distance covered in the whole journey is 18 miles. Find the average speed for the whole journey if he goes by walking and comes back by riding. Correct Answer 2 mph

Concept Used:

Average speed = Total distance/ Total time 

Calculation:

Time has taken on walking both ways at constant speed = 10 hrs

Time has taken on walking one way at constant speed = 10/2 ⇒ 5 hrs

He gained 2 hours by riding on both ways 

Time taken on riding both ways at constant speed = 10 - 2 = 8 hrs

Time has taken on riding one way = 8/2 ⇒ 4 hrs

Total time taken if he goes walking and comes by riding = 5 hrs + 4 hrs ⇒ 9 hrs

Total journey distance = 18 miles

∴ Average speed = 18/(5 + 4) = 18/9 = 2 miles per hour

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