4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. 40 women working alone will finish it in :
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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