Multiple choice

Peter and Banner undertake a project worth Rs. 54000. Peter alone can do the work in 10 days. They work together for 3 days. After 3 days, Banner works alone for 3 days and Peter completes the remaining work in 3 more days. What is the share of Banner in the earnings?

  1. 21690

  2. 21600

  3. 22000

  4. 34000

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Banner's rate be B/day. Peter's rate = 54000/10 = 5400/day. Total work: 3 days together (5400+B), 3 days Banner alone (B), 3 days Peter alone (5400) = 54000. Solving: 3(5400+B) + 3B + 3(5400) = 54000 → 32400 + 6B = 54000 → B = 3600/day. Banner works 6 days total (3 with Peter + 3 alone), earning 6 × 3600 = Rs. 21600.