Question

pawan and manoj are engaged to do a work.pawan working alone takes 4 hours more to complete the job to time taken by both of them work together.if manoj works alone he needs 10.8 hours more to complete the job time taken by both of them working together what time will they take to do the job work together

Answer 1

given:
Rate of Manoj = 10.8 + x
Rate of Pawan, alone = 4 + x
Rate of Manoj and Pawan working together = x

Using the work equation:

1/Manoj + 1/Pawan = 1/both

1/(10.8 +x) + 1/(4+x) = 1/x

solve for x

x = 6.57 hours working together.