Time and Work Practice Test 2 with solutions

Question : 7 of 40

Marks: +1, -0

Two women can finish a work in 294 days, 3 men can complete the same work in 147 days and 7 children can do the same work in 210 days. In how many days can 10 children, 3 men and 4 women together complete the same work?

50 days
47 days
49 days
43 $1/7$ days
None of these

Validate

Solution:

Work done by 2 women in one day =

1/{294}

Work done by 4 women in one day
=

2 × 1/{294}

1/{147}

Work done by 3 men in one day =

1/{147}

Work done by 7 children in one day =

1/{210}

Work done by 10 children in one day =

{10}/7 × 1/{210}

1/{147}

Work done by 3 men, 4 women and 10 children in one day =

1/{147}+1/{147}+1/{147}

3/{147}

1/{49}

So, altogether they complete work in 49 days.

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