(b) A person walking around a rectangular park of
sides 'd' & '2d' makes 25 revolutions of the park in
half an hour. Calculate the average speed of the
person.
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Answer:
Area of the rectangular field = 3584 m2
Length of the rectangular field = 64 m
Breadth of the rectangular field = (
Area
Length
) = (
3584
64
) m = 56 m
Perimeter of the rectangular field = 2 (length + breadth)
= 2(64+ 56) m = (2 × 120) m = 240 m
Distance covered by the boy = 5 × Perimeter of the rectangular field
= 5 × 240 = 1200 m
The boy walks at the rate of 6 km/hr.
or
Rate = (
6×1000
60
) m/min = 100 m/min.
∴ Required time to cover a distance of 1200 m = (
1200
100
) min = 12 min
Hence, the boy will take 12 minutes to go five times around the field
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