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# 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?a)3b)5c)7d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?

## Quant Question

By Vidushi Vaish · Feb 09, 2019 ·Quant
Gautam Shinde answered Jul 10, 2018
1 woman's 1 day's work = 1/70
1 child's 1 day's work = 1/140
(5 women + 10 children)'s day's work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.

Vidushi Vaish answered Jul 12, 2018
10w can work in 7d, so 1w = 7*10 =70days 10C can work in 14 days so 1C = 14*10 =140 days 5w=70/5(total work /no. of women) =14 days 10c=140/10 = 14days both can work in=1/14+1/14= 2/14= 1/7 so both can work in 7 days

Ramesh Rajwar answered Feb 10, 2019
Since, efficiency of 10 women and 10 children will be in ratio 2:1. so, work of five women = work of 10 children. That's why 5 women and 10 children together will complete the same work in 7 days