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Question: A 60 kg man runs up a staircase in 12 seconds while a 50 kg man runs up the same staircase in 11, se...

A 60 kg man runs up a staircase in 12 seconds while a 50 kg man runs up the same staircase in 11, seconds, the ratio of the rate of doing their work is

A

6 : 5

B

12 : 11

C

11 : 10

D

10 : 11

Answer

11 : 10

Explanation

Solution

P=mghtP = \frac { m g h } { t } ⇒ P1P2=m1m2×t2t1\frac { P _ { 1 } } { P _ { 2 } } = \frac { m _ { 1 } } { m _ { 2 } } \times \frac { t _ { 2 } } { t _ { 1 } } (As h = constant)

∴P1P2=6050×1112=1110\frac { P _ { 1 } } { P _ { 2 } } = \frac { 60 } { 50 } \times \frac { 11 } { 12 } = \frac { 11 } { 10 }