## Amit takes 20 days to complete a certain work. Amit started the work and Suraj joined him 4 days before the work was completed. Find out the

Question

Amit takes 20 days to complete a certain work. Amit started the work and Suraj joined him 4 days before the work was completed. Find out the number of days for which Amit worked alone if Suraj’s efficiency is 25% more than that of Amit’s

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2021-08-12T06:16:34+00:00
2021-08-12T06:16:34+00:00 1 Answer
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## Answers ( )

Given :Amit takes 20 days to complete a certain work.Amit started the work and Suraj joined him 4 days before the work was completed.

Suraj’s efficiency is 25% more than that of Amit’s

To Find :the number of days for which Amit worked aloneSolution:Amit 1 day work = A

Amit 20 days work = 20A

Total work = 20A

Let say after x day Suraj joined Amit

then Amit work for x + 4 days

and Suraj work for 4 day

Suraj’s efficiency is 25% more than that of Amit’s

=> Suraj 1 day work = A + (25/100)A = 5A/4

=> Suraj 4 day work = 4 * 5A/4 = 5A

Amit x + 4 days work =(x + 4)A

= xA + 4A

xA + 4A + 5A = 20A

=> xA = 11A

=> x = 11

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