Correct Answer  Option 1 : Y spends more power than X
Concept:
Power: Power is work done per unit time.
\(Power = \frac{ Work }{Time}\)
work done by the force is a product of force acted on body and displacement.
work = force x displacement
force = mass x gravitational acceleration
Calculation:
 X and Y climbed the same hill therefore displacement is the same for both.
 Their weight is also the same.
 therefore work done by X and Y is the same.
The time taken by X and Y to climb the hill is 10 and 7 minutes respectively.
Let, P_{X} and P_{Y} are power spent by X and Y respectively.
P_{X } = W / 10
P_{Y} = W / 7
As denominator of P_{X} is bigger compared to P_{Y}.
PX < PY
This explains Y spends more power than X.
PHYSICAL QUANTITY 
SYMBOL 
UNITS 
DIMENSIONS 
POWER 
P 
W 
[L2 M T3]

WORK 
W 
J 
[L2 M T2]

FORCE 
F 
N 
[L M T2]
