Question

Two man undertake to do a piece if work in
1400rs. First man alone can do this work in 7 days
while the second man alone can do this work in 8
days. If they working together complete this work
in 3 days with the help of a boy, how should money
be divided ?
(a) 600, 500, 300
(b) 600, 550, 250
(c) 600, 525, 275
(d) 500, 525, 7 375​

Answer 1

Answer:

(c) 600, 525, 275

Step-by-step explanation:

Given,

Two man undertake to do a piece if work in  1400 rs.

First man alone can do this work in 7 days

1st man=1/7

the second man alone can do this work in 8  days.

2nd man=1/8

If they working together complete this work  in 3 days with the help of a boy, how should money  be divided ?

let the boy's individual work is x

1/7+1/8+1/x=1/3

1/x=1/3-1/7-1/8

1/x=56-24-21/168

1/x=11/168

boy's individual work is 11/168

let 1st man,2nd man and boy's work will be in the ratio

1x/7:1x/8:11x/168

LCM is 168

24x:21x:11x

total amount will be Equal to

24x+21x+11x=1400

56x=1400

x=25

1st man is

24*25=600

2nd man is

21*25=525

boy is 11*25=275