Question

a can do a certain work in14 days while b can do it in 21 days they worked together for 7 days then a fell ill and b have to complete the remaining work in how many days was the work complete

Answer 1

A takes 14 Days & B takes 21 Days. So, let the total work be LCM(14,21) = 42 Units

A -> 14 days = 3 Units/day

B -> 21 days = 2 Units/day

A + B = 5 Units/day

Now, for the last 3 days , only B worked as A left.

So, work done in the last three days = 2×3

= 6 units

Work done by A & B together = 42–6 = 36 units

Time taken = 365

= 7.2 days

Thus, TOTAL TIME = 3+7.2 = 10.2 Days