Question

If a motor has three times as much power as another, then the less power motor A) can do the same work in three times the time B) can never do the same work as the larger motor C) can do the same work in the same time D) can do the same work in one-third the time

Answer 1

let power of ist motor ,P1 = 3 P

t1 = time of ist motor = t

power of 2nd motor ,P2 = P

t2 = time of 2nd motor = 3t

--------------------

power = work / time

W1 (work done by ist motor) = P1*t1

W1 = 3P*t ----------------------1

W2(work done by 2nd motor) = P2*t2

W2 = P*3t = 3Pt --------------------2

from eq 1 and 2 less power motor can do the same work in three times the time.