Latest Wipro Aptitude Question SOLUTION: If 8 men and 6 boys can dig a well in 2 days, and 6 men and 2 boys can do it in 3 days, how long will 5 men and 3 boys take to do it? a)4.33 b)4 c)3 d)3.33

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If 8 men and 6 boys can dig a well in 2 days, and 6 men and 2 boys can do it in 3 days, how long will 5 men and 3 boys take to do it?

a)4.33
b)4
c)3
d)3.33

Asked In Wipro (13 years ago)

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ALAKHNATH  (12 years ago)

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
so 8x+6y=1/2,& 6x+2y=1/3 on solving these two equation we get x=1/20 and y=1/60 days..5 men(x)+3 boy(y) 1 days work =(5/20+3/60)=3/10
so they will complete the work in 3.33 days..

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bhumikneema  (5 Months ago)

1 man can dig a well in = x days

1 boy can dig a well in = y days.

work done by a man in 1 day= days

work done by 1a boy in 1 day = days

Total work done by 8 men and 6 boys :-

( + ) = .. (1)

Total work done by 6 men and 2 boys :-

( + )= .. (2)

By multiplying equation (2) with 3, we get:-

+ = = 1.. ( 3)

now (1) -(3) :-

+ =

+ = 1

- - -

------------

- = - 1 = -

= -

- = -

x = 20

putting the value of x in equation (1) , we get :-

( + ) =

+ =

= - = = =

∴ y = 6 × 10 = 60

1 man can dig the well in = 20 days

∴1 man can do the work in 1 day = part

∴ 5 men can dig a well in = × 5 = 4 days.

1 boy can dig the well in = 60 days

∴ 1 boy can do in 1 day = part

∴3 boys can dig a well in = × 3 = 20 days

Total work done in 1 day = + = = =

hence 5 men and 3 boys take to do it in 15 days.

Ans :- 5 men and 3 boys take to do it in 15 days.

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