A boy ''A'' of mass 50kg climbs up a stair case in 10s. Another boy ''B'' of mass 60kg climbs up a same staircase in 15s. The ratio of their power developed by the boys ''A'' and ''B'' is

Options

A. `5/4`
B. `3/2`
C. `4/5`
D. `2/3`

Answer

A

Explanation

`"Work done by the boy" .A. (W_(1))=m^(1)gh=50gh`
`"Work done by the boy" .B. (W_(2)=m_(2)gh=60gh`
power develop by `A=p_(1)=w_(1)/t_(1)=(50gh)/10`
power developed by B=is `p_(2)=(60gh)/(15)."then",p_(1)/p_(2)=((50gh)/(10))/((60gh)/(15))=5/4`