1.

A cyclist cycles around a square park with speed 3 m/s on 1st side, 4m/s on second side, 5m/s on 3rd side and 6m/s on 4th side. If he completes one round in 57 seconds, find the area of the square field?1. 3844 m22. 3600 m23. 2500 m24. 3364 m2

Answer» Correct Answer - Option 2 : 3600 m2

Given:         

Speed on 1st side = 3 m/s

Speed on 2nd side = 4 m/s

Speed on 3rd side = 5m/s

Speed on 4th side = 6m/s

Total time taken to complete 1 round = 57 seconds

Concept:

Since the distance covered on each side is same, so the time taken to cover the distance of each side is added which is the overall time to complete 1 round. So, by using the time distance speed formula, calculate the distance of each side and then calculate the area of the square.

Formula used:

Distance/Speed = time

Area of square = side × Side

Calculation:

Let, side of the square be ‘D’

∴ D/3 + D/4 + D/5 + D/6 = 57

⇒ (20D + 15D + 12D + 10D)/60 = 57

⇒ 57D = 57 × 60

⇒ D = 60 m

Area of the square of side 60 m

⇒ 60 × 60 = 3600 m2

∴ Area of the square is 3600 m2


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