Time and Work Practice Test 4 with solutions

Question : 16 of 40

Marks: +1, -0

If 5 men or 8 women can do a work in 40 days, how long will 10 men and 16 women together take to do the same work?

Solution:

Number of days taken by 5 men = 40 days
Number of days taken by 1 man = (40 × 5) days
Number of days taken by 10 men =

{40 × 5}/{10}

= 20 days.
Work done by 10 men in one day =

1/{20}

... (1)
Number of days taken by 8 women = 40 days
Number of days taken by 1 women = (40 × 8) days
Number of days taken by 16 women =

{40×8}/{16}

= 20 days
Work done by 16 women in one day =

1/{20}

... (2)
Adding (1) and (2), we get:
Work done by 10 men and 16 women in one day
=

1/{20}+1/{20}

1/{10}

So, together 10 men and 16 women complete the work in 10 days.

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