Time and Work Practice Test 4 with solutions

Question : 19 of 40

Marks: +1, -0

12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required?

Validate

Solution:

(8 men + 20 women)'s 20 day's work =

{8×20}/{12×36}

{20×20}/{18×60}

{10}/{27}+{10}/{27}

{20}/{27}

Remaining part of work = 1 –

{20}/{27}

7/{27}

1 woman's 4 days' work =

4/{18×60}

1/{270}

Required number of women =

{7/{27}}/{1/{270}}

7/{27} × 270

= 70

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