Multiple choice

Ram alone can do a work in 20 days. Mohan is 25% more efficient than Ram. Ram and Mohan started working and worked for 4 days. If Sita alone completed the remaining job in 22 days. How many days Sita alone takes to complete the entire job?

  1. 24 days

  2. 36 days

  3. 12 days

  4. 20 days

  5. 40 days

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

Ram's efficiency: 1/20 work per day. Mohan is 25% more efficient, so his rate = 1.25×(1/20) = 1/16 per day. In 4 days, Ram and Mohan complete: 4×(1/20 + 1/16) = 4×(4/80 + 5/80) = 4×(9/80) = 9/20 of work. Remaining work = 1 - 9/20 = 11/20. Sita completes 11/20 work in 22 days, so her rate = (11/20)/22 = 11/440 = 1/40 per day. Therefore, Sita alone takes 40 days to complete the entire job.