Question

4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in 7 days. Find the time taken by 1

man alone or than by 1 boy alone.​

Answer 1

HOLA!!!

POINTS TO NOTICE:-

1. IN QUESTIONS RELATED TO SOLVE THE WORK DONE BY MAN AMD BOYS
2. FIRST OF ALL CONSIDER OUT THE WORK DONE BY THE MAN TO BE X AND THAT OF BOY TO BE Y
3. SIMPLY MAKE EQUATION
4. SOLVE THE EQUATION
5. MAKE OUT THE VALUE OF X AND Y

GIVEN :-

1. 4 men and 6 boys can finish a piece of work in 5 days
2. 3 men and 4 boys can finish it in 7 days.

TO FIND :-

WORK DONE BY I MAN AND I BOY

SOLUTION:-

LET US CONSIDER THE WORK DONE BY THE MAN IS X AND THAT OF BOY TO BE Y

NOW IF 4 MEN AND 6 BOYS WORK OUT IN 5 DAYS

THEN 4X + 6Y = 5 ...........(1)

NOW IF 3 MEN AND 4 BOYS WORK OUT IN 7 DAYS

THEN 3X + 4Y = 7............(2)

SOLVING THIS WE GET AS,

3X = 7 - 4Y

X = 7 - 4Y

3

PUTTING IN (1)

28 - 16Y + 6Y = 5

3

28 - 16Y + 18Y = 15

28 - 2Y = 15

2Y = 13

Y = 13/2 = 6.5 DAYS

AND X = 17/2 = 8.5DAYS

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