Question

PLZ HELP ME I LL DO ANY FAVOUR 4 U
Answer it fast.......2 men and 7 boys can do work in 4 days. And 3 days for 4 men and 4 boys. How long it takes for 1 man and 1 boy?? ...... I ll MARK you BRAINLIEST .....

Answer 1

Hey friend!!


Here's ur answer...

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Let time taken by one man = x days.
Let time taken by one boy = y days.

According to question :

1st condition :
$\frac{x}{2} + \frac{y}{7} = \frac{1}{4} \\ \\ \frac{7x + 2y}{14} = \frac{1}{4} \\ \\ 28x + 8y = 14 \\ 14x + 4y = 7 \\ multiply \: by \: 3 \\ 42x + 12y = 21 - - - - - (1)$


2nd condition :
$\frac{x}{4} + \frac{y}{4} = \frac{1}{3} \\ \\ 3x + 3y = 4 \\ multiply \: by \: 4 \\ 12x + 12y = 16 - - - - - (2)$


Subtract (2) from (1)

42x + 12y - 12x - 12y = 21 - 16
30x = 5
x = 1/6

Put in (2)

12(1/6) +12y = 16
12y = 14
y = 7/6


Time taken by one boy = 7/6 days.
Time taken by one man = 1/6 day.

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Hope it may help you...


Thank you :) :))