Multiple choice

The ratio of working efficiency of Ram and Shyam is 3 : 4. They together can complete a piece of work in 24 days. They started working together & after 6 days Ram leaves and a third person Radha whose efficiency is 6/7 of that of Shyam joins Shyam. Find the time taken by Radha and Shyam together to complete the remaining work.

  1. 221/26

  2. 441/26

  3. cannot be determined

  4. 331/26
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ram:Shyam efficiency = 3:4. Total work = (3+4)*24 = 168 units. In 6 days, they do 7*6 = 42 units. Remaining = 126. Radha efficiency = 6/7 * 4 = 24/7. Radha + Shyam = 24/7 + 4 = 52/7. Time = 126 / (52/7) = 882/52 = 441/26.

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