Question

The length and breadth of a playground are 62 m 60 cm and 25 m by 40 cm respectively. How long will a man take to go three times around the field, if he walks at the rate of 2 metres per second?

• A. 4.4 minutes
• B. 6.4 minutes
• C. 7.2 minutes
• D. 2.4 minutes

Answer 1

The correct option is A 4.4 minutes

Given:
Length of playground = 62 m 60 cm
= 62.6 m [10 cm = 0.1 m]
Breadth of a playground = 25 m 40 cm = 25.4 m
Perimeter of a rectangular field = 2(Length + Breadth)
= 2(62.6 + 25.4) = 176 m

Distance covered by the man in 3 rounds of a field = 3 x Perimeter of a rectangular field
= 3 x 176 m = 528 m

The man walks at the rate of 2 m/sec.
Speed of man walks = 2 x 60 m/min = 120 m/min
Thus, required time to cover a distance of 528 m = $\frac{528}{120}$ = 4.4 minutes.