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Explanation:

Let the number of days required to complete the work by mother, elder son and younger son be m, e and y hours respectively.

Therefore, work done by mother; elder son and younger son in one day is 1/m, 1/e and 1/n respectively.

Also m = e – 1 (∵ Mother take one hour less than the elder son)

Based on the conditions given,

1m + 1e + 1y = 1          ...(1)

1e + 1y + 3y = 1           ...(2)

1y = e-14e

Also m = e – 1

Substituting values of (1/m) and (1/y) in (1)

1e-1 + 1e + e-14e = 1

Solving,

e = 3

Therefore, m = 2 and work done in 1 hour = 50%

Hence, option (b).

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