Multiple choice

Sumesh is a mason who can build a hut in 15 days. Ramesh can build the same hut in 25 days. Ramesh works on a new hut for 15 days but then falls sick. He asks Sumesh to complete the remaining work. In how many days can Sumesh complete the remaining work?

  1. 3 days

  2. 6 days

  3. 7 days

  4. 12 days

  5. N/a
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sumesh rate = 1/15 per day. Ramesh rate = 1/25 per day. Ramesh works for 15 days: 15/25 = 3/5 of the work done. Remaining work = 1 - 3/5 = 2/5. Sumesh completes 2/5 work at rate 1/15: (2/5) / (1/15) = (2/5) * 15 = 6 days.

AI explanation

Using the Least Common Multiple method, let the total work be 75 units. Ramesh completes 3 units per day, so in 15 days he finishes 45 units, leaving 30 units of work. Sumesh completes 5 units per day, so he needs 30 divided by 5, which equals 6 days to finish the remaining work.

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