(i) Sunil takes 5 days more than Anil to complete a certain work. 4 days after startingthe work, Anil left the work. The remaining work was done by Sunil in 5 days.Find how many days each will take to complete the work. About the author Alice
Let fraction of work completed by a man per day be x (so x<1) Given that 20*x*12=1 →(1) since 1 means complete work} Now ater 6 days 5 workers left. So work completed till 6th day = 1/2 So work left = 1/2 Let no of days needed to complete remaining work be Y So (20–5) * x * Y = 1/2 →(2) Here 20–5 is no of workers left And 1/2 is remaining work now divide (1) with (2) We get, (20*12)/(15*Y) =2 => 240= 30*Y So Y= 8 So with number of days took to complete entire work = 6(with 20 workers)+ 8(with 15 workers) = 14 days Hope it helped Thanks for reading:) Reply
Let fraction of work completed by a man per day be x (so x<1)
Given that 20*x*12=1 →(1)
since 1 means complete work}
Now ater 6 days 5 workers left.
So work completed till 6th day = 1/2
So work left = 1/2
Let no of days needed to complete remaining work be Y
So (20–5) * x * Y = 1/2 →(2)
Here 20–5 is no of workers left
And 1/2 is remaining work
now divide (1) with (2)
We get,
(20*12)/(15*Y) =2
=> 240= 30*Y
So Y= 8
So with number of days took to complete entire work = 6(with 20 workers)+ 8(with 15 workers) = 14 days
Hope it helped
Thanks for reading:)