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9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?

35/4 days
17.5 days
19 3/4 days
37/3 days

Correct Answer: 17.5 days

Explanation:

Let the number of days be 'p'

As the work is same, we know that

$M 1 x D 1 x H 1 = M 2 x D 2 x H 2$

Where M = Men, D = Days, H = Hours per day

Here M1 = 9, D1 = 15, H1 = 7

M2 = 6, D2 = p, H2 = 9

=> 9 x 15 x 7 = 6 x p x 9

=> p = 35/2 = 17.5 days.

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