Multiple choice

Ram takes twice the time taken by Shyam and thrice the time taken by Laxman to do a particular work. Working together, they can complete the work in 2 days. Find the respective number of days taken by A, B and C to complete the work alone.

  1. 12, 6, 4

  2. 18, 9, 6

  3. 24, 12, 8

  4. 30, 15, 10

  5. None of these
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A Correct answer
Explanation

The times taken by Ram, Shyam, and Laxman are in the ratio 6:3:2. Their combined rate is therefore 1/6 + 1/3 + 1/2 = 1/2 work per day, so their individual times are 12, 6, and 4 days. The question switches from the names Ram, Shyam, and Laxman to A, B, and C.

AI explanation

Assuming Ram takes x days to complete the work, Shyam takes x/2 days and Laxman takes x/3 days, so their 1 day work equation is 1/x + 2/x + 3/x = 1/2. Solving 6/x = 1/2 yields x = 12 days for Ram. Consequently, Shyam takes 6 days and Laxman takes 4 days to complete the work alone; this question contains a typographical error by asking for A, B, and C instead of Ram, Shyam, and Laxman.

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