Alok and Sachin agree to complete a piece of work in $20$ days?They also agree to forfeit double the amount of wages corresponding to the uncompleted part of work,if they fail.If Alok alone can complete the work in $40$ days and they lost $1$/$3$ of the pay of the total work.In how many days can Sachin alone complete the work?
options:
a) $60$ b) $24$ c) $36$ d) $30$
MyApproach:
Alok+Sachin=$20$ Days
If they fail,They agree to forfeit double the amount of wages corresponding to the uncompleted part of work
If Alok alone can complete the work in $40$ days.
Therefore,Alok did 2.5% work in 1 day and given:(together)they did 5% work(20 days).
Therefore,Sachin do 2.5% work.
I am confused how to use these equations to solve the problem.
Can anyone guide me how to approach the problem correctly.
Best Answer
Since they forfeit double the uncompleted amount, they completed $\dfrac56$ of the work in $20$ days, in which Alok completed $2.5*20 = 50\%$
So Sachin completed $\dfrac56 - \dfrac12 = \dfrac13$ of work in 20 days,
and can thus do the full work, alone, in $60$ days.