If 17 men and 18 women can do a piece of work in 11 days and 14 men and 13 women can do it in 15 day

M4maths Previous Puzzles

23 Aug 2018 Work & Time

If 17 men and 18 women can do a piece of work in 11 days and 14 men and 13 women can do it in 15 days,

how many days will 27 men and 18 women take to do it?

OPtion

1) 11.00
2) 11.33
3) 11.60
4) 10.33
5) 11.75
6) 10.00
7) 10.25
8) 10.40
9) 10.75
10) None of these

Solution

Let a man's daily work be x units and that of a woman is y units.
So total amount of work, W = 11(17x + 18y) = 15(14x + 13y)

Solving we get, 187x - 210x = 195y - 198y
=> 23x = 3y

Now, 17 x + 18 y can do work in 11 days.
So, 17x + 6*23 x can do work in 11 days.
So, 155 x can do work in 11 days.

Now, 27x + 18y = 27x + 18*23x/3 = 165x

Hence, if 155x can do work in 11 days, 165x can do work in ((155xy)*11)/165y = 10.33 days

Option 4)

Correct Option: 4 Best Solution (2)

G.S.Kantharao   6 years AGO

17m+18w can do in =11d
187m+198w can do in =1 day
14m+13w can do in 15d
210w +195w can do in =1 day
187m+198w=210m+195w
23m=3w
17m + 18w=17m+138m=155m can do in 11 days
27m +18 w=27m +138m=165m
Can do in =11*155/165=10.33d
Hence my option is 4👈
27m+18w can do in =11*17/27*18/18

Like? Yes (3) | No   

Kariamal   6 years AGO

17m+18w=1/11....(1)
14m+13w=1/15....(2)
(1)+(2)
m=1/1705 w=23/5115
27*1/1705+18*23/5115=10.33

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