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 alon… — Answer & Discussion

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 ?

A19200 sq m
B27000 sq m
C32500 sq m
DCannot be determined

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Discussion 1

CCommunity19 May 2019

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