Question

Two persons A and B do same amount of work. The person A does that work in t1sec and the person b in t2sec. Find the ratio of power delivered by them.

Answer 1

The ratio between power of A and power of B is 2

Explanation:

In physics, power is defined as the ratio between the work done and the time taken to do the work:

$P=\frac{W}{t}$

where

P is the work done

t is the time taken

In this problem, we have:

Person A and person B do the same amount of work --> let's call this work W

Person A does this work in a time of $t_A = 1 s$, so the power delivered by A is

$P_A = \frac{W}{1}=W$

Person B does this work in a time of $t_B = 2 s$, so the power delivered by B is

$P_B = \frac{W}{2}$

So, the ratio of the powers delivered by the two persons is

$\frac{P_A}{P_B}=\frac{W}{W/2}=2$

Learn more about power:

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