Explanation:
Power is defined as the amount of work done per unit time. Work, in turn, is defined as force times distance. Assuming both Rahul and Reena are moving the same load with the same gravitational force, the person who does more work in less time will have more power.
Let's first calculate the total work done by each person:
Work = Force x Distance
Both Rahul and Reena moved the load the same distance of 200 meters, so their work is proportional to the force applied.
For Rahul,
Work = (Force by Rahul) x 200
For Reena,
Work = (Force by Reena) x 200
Since the loads are the same, we can write:
(Force by Rahul) x 200 = (Force by Reena) x 200
or
Force by Rahul = Force by Reena
Now, let's calculate the power of each person:
Power = Work / Time
For Rahul,
Power = (Force by Rahul x 200) / (5 x 60) = Force by Rahul / 15
For Reena,
Power = (Force by Reena x 200) / (4 x 60) = Force by Reena / 12
Since Force by Rahul = Force by Reena, we can compare their powers:
Power by Rahul = Force by Rahul / 15
Power by Reena = Force by Reena / 12
If Power by Rahul > Power by Reena, then Rahul has more power. If Power by Reena > Power by Rahul, then Reena has more power.
So, we need to compare Force by Rahul / 15 and Force by Reena / 12. Given that Force by Rahul equals Force by Reena,
Force by Rahul / 15 = Force by Reena / 15 x 12
Since Reena took less time to cover the same distance, her power is greater.
Therefore, Reena has more power.