Question

A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of ₹3000. A will get

1. ₹1200
2. ₹1500
3. ₹1800
4. ₹2000

Answer 1

We know that,

Number of days A required to do work = 10 days

Number of days B required to do work = 15 days

∴ we can calculate, work done by A in 1 day = 1/10

Work done by B in 1 day = 1/15

Now, work done by A and B together in 1 day = 1/10 + 1/15 = 5/30 = 1/6

∴ A and B together take 6 days to complete work.

Now, lets calculate A’s share of work = 1/10 × 6 = 3/5

We know that the wages are divided based on share of the work

A’s wage = 3/5 × 3000 = 1800

∴ A’s wage is ₹1800.