Multiple choice

Harish, Mahesh and Atul can make furniture in 36 days, 12 days and 24 days, respectively. If Mahesh works for first two days and after that three of them work together to make furniture, how much time will they take?

  1. 9.5 days

  2. 5 days

  3. 10 days

  4. 7.45 days

  5. 12 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Harish=1/36, Mahesh=1/12, Atul=1/24. Mahesh works 2 days: 2/12 = 1/6. Remaining = 5/6. Together: 1/36+1/12+1/24 = (2+6+3)/72 = 11/72. Time = (5/6) / (11/72) = (5/6) * (72/11) = 60/11 = 5.45 days. Total time = 2 + 5.45 = 7.45 days.

AI explanation

The total work is the least common multiple of 36, 12, and 24, which equals 72 units. Mahesh works alone for 2 days at a rate of 6 units per day, completing 12 units and leaving 60 units. The combined rate of Harish, Mahesh, and Atul is 2, 6, and 3 units per day respectively, totaling 11 units per day. They complete the remaining 60 units at this rate, taking 60/11 or approximately 5.45 days, so the total time is 2 plus 5.45 equals 7.45 days.

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