Question 86

A rectangular field has its length and breadth in the ratio of 6:5 respectively A man riding a bicycle completes one lap of this field along its perimeter at the speed of 19.8 km/h in 2 min What is the area of the field ?

Solution

here the speed of cycle is given = 19.8 km/hr = 19.8 × $$\frac{5}{18} $$ m/s = 5.5 m/s

Time = 2 min = 120 sec

Distance = speed × time

Distance = 5.5 × 120 = 660 m

As length : breadth = 6:5

Length = 6y

Breadth = 5y

Perimeter = 660 m

22y = 660

y = 30 m

So length = 180 m

Breadth = 150 m

Area = 180×150 = 27000 sq mtr

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