3 men and 7 women can complete a task in 10 days On the other hand 4 men and 6 women take 8 days to ...........

Quantitative Aptitude (CHSL) Time and work

3 men and 7 women can complete a task in 10 days. On the other hand, 4 men and 6 women, take 8 days to complete the same

task. How long will it take 10 women to complete the same task?

This questions was previously asked in

SSC CHSL 9th June 2022 Shift-3

View All SSCCHSL Previous Year Papers

36 days

43 days

48 days

40 days

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Explanation:

Correct option 4:40 days

Explanation

Given:
3men + 7women takes 10 days,
4men +6women takes 8 days.
Formula used:
Total work = Efficiency > days
Calculations:
By solving equation (1) and (2)

=>(3m + 7w) x 10 = (4m + 6w) x 8
=>30m + 70w = 32m + 48w
=> 30m-32m = 48w-70w
=>2m = -22w
=> m/w = 11/1
Total work = (4 x 11 + 6) × 8
=> Total work = 400 unit
=> Time taken by 10 woman = 400/10 ⇒ Time taken by 10 woman = 40 days