Answer:

Let's understand about power first!

It is common experience that different persons COMPLETE a given work in different times. A person doing work QUICKLY is said to be stronger but a person who does some work in a longer TIME is said to be weaker. In this context, we define the term power, which is a measure of rate of doing work.

Power:

The power of a person/machine/system is defined as its rate of doing work.

If W work is done in the time t, then the power P is given as:

✭ Power, P = Work, W/ Time, t ✭

Let's COME to question now...

As we are provided with the work and time of both men A and B. We will find the power of both men A and B SEPARATELY and then compare them to find out who has more power. After that we will find out the ratio of their powers.

Let's find out...✧

a.)

➛ Work done by man A, W = 450 J

➛ Time taken, t = 5s

✭ Power, P = Work, W/ Time, t ✭

Putting the values in the formula, we have:

➛ P = 450/5

➛ P = 90 W

∴ Power of man A = 90 W

➛ Work done by man A, W = 240 J

➛ Time taken, t = 5s

✭ Power, P = Work, W/ Time, t ✭

Putting the values in the formula, we have:

➛ P = 240/3

➛ P = 80 W

∴ Power of man B = 80 W

Comparing the powers of both we find that,

90 W > 80 W

Power of man A > Power of man B

∴ Man A has more power.

b.)

➛ The ratio of the power delivered by A to that delivered by B = Power of man A/Power of man B

➛ The ratio of the power delivered by A to that delivered by B = 90/80

➛ The ratio of the power delivered by A to that delivered by B = 9/8

➛ The ratio of the power delivered by A to that delivered by B = 9:8

∴ The ratio of the power delivered by A to that delivered by B is 9:8

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