Two men with weights in the ratio 4 : 3 run up a staircase i... | PHYSICS - THE CONCEPT OF POTENTIAL ENERGY | SolveeIt | Solveeit

Today, August 19

Question

Two men with weights in the ratio 4 : 3 run up a staircase in time in the ratio 12 : 11. The ratio of power of the first to that of second is:

A

$\frac { 4 } { 3 }$

B

$\frac { 12 } { 11 }$

C

$\frac { 48 } { 33 }$

D

$\frac { 11 } { 9 }$

Answer

$\frac { 11 } { 9 }$

Explanation

Solution

(w = weight)

$\therefore \frac { \mathrm { P } _ { 1 } } { \mathrm { P } _ { 2 } } = \frac { \mathrm { W } _ { 1 } } { \mathrm {~W} _ { 2 } } \times \frac { \mathrm { t } _ { 2 } } { \mathrm { t } _ { 1 } } = \frac { 4 } { 3 } \times \frac { 11 } { 12 } = \frac { 11 } { 9 }$ (h is same in both cases)