## 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​

in progress 0
2 months 2021-08-12T06:16:34+00:00 1 Answer 0 views 0

1. 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 alone

Solution:

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

Amit worked alone for 11 Days