The maximum tension a rope can withstand is 60 kg - wt. The ratio of maximum acceleration with which two boys of masses 20kg and 30kg can climb up the rope at the same time is

Explanation

`m_(1)=20kg, m_(2)=30kg, T=60kgwt=600N`
For `.m_(1)., T-m_(1)g=m_(1)a_(1)`
`600-20xx10=20xxa_(1)rArr a_(1)=20ms^(-2)`
For `.m_(2).,T-m_(2)g=m_(2)a_(2)`
`600-30xx10=30xxa_(2)rArr a_(2)=10ms^(-2)`
`a_(1):a_(2)=20:10=2:1`