Discussion

Explanation:

Let the total work to be done = LCM (8, 10) = 40 units.

Also, let efficiency of each man and woman be m and w respectively.

∴ (4m + 6w) × 8 = 40

⇒ 4m + 6w = 5   …(1)

Similarly, (3m + 7w) × 10 = 40

⇒ 3m + 7w = 4   …(2)

Solving (1) and (2) we get,

m = 1110 and w = 110

Now, time taken by 1 woman to complete the work = 401/10 = 400 days.

∴ Time taken by 40 women to complete the work = 10 days.

Hence, option (d).

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