Time and Work Practice Test 2 with solutions

Question : 36 of 40

Marks: +1, -0

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Validate

Solution:

Here, (4 men + 6 women) × 8 = (3 men + 7 women) × 10
⇒ 32 men + 48 women = 30 men + 70 women
⇒ 2 men = 22 women
Hence, 1 man = 11 women
4 men + 6 women = 44 women + 6 women = 50 women
10 women's 1 day's work = 10 ×

1/{8×50}

1/{40}

Hence, 10 women will complete the work in 40 days.

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