Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 6)
6.
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
4 days
5 days
6 days
7 days
Answer: Option
Explanation:

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.

Then, 6x + 8y = 1 and 26x + 48y = 1 .
10 2

Solving these two equations, we get : x = 1 and y = 1 .
100 200

(15 men + 20 boy)'s 1 day's work = 15 + 20 = 1 .
100 200 4

15 men and 20 boys can do the work in 4 days.

Discussion:
202 comments Page 12 of 21.

Vicky said:   1 decade ago
2x+3y=1/10 ----- (1)
3x+2y=1/8 ------(2)

we want to find: 2x+1y=?----(3)
any one can solve this

Divya said:   8 years ago
Hi, @Mmeera.

How did you solve this how it will come 3/5 in first equation by multiplying *6?

Rahul said:   1 decade ago
@Meera.

In the first solution you took it x value as 1/10 but it is 1/100. Please elaborate.

Manav said:   1 decade ago
@ vicky

2(3x+4y)= 1/10

now, take that 2 to the other side of the eqn, we get

3x+4y= 1/20

Renju K S said:   10 years ago
@Meera.

Can you explain how you got 3/5 in RHS by multiplying with 6 to the 1st equation?

Gopikrishnan said:   8 years ago
Solving these two equations, we get: x =1and y =1.
100 200,

Please explain above the line.

Yamuna said:   3 years ago
6m + 8b = 1/10.
2(3m + 4b) =1/10.
3m + 4b = 1/20.
5(3m + 4b) = 5(1/20).
15m + 20b = 1/4.
(60)

Kumar said:   2 years ago
6m + 8b = 1/10.
2(3m + 4b) =1/10.
3m + 4b = 1/20.
5(3m + 4b) = 5(1/20).
15m + 20b = 1/4.
(130)

Vinutha said:   2 years ago
6m + 8b = 1/10.
2(3m + 4b) =1/10.
3m + 4b = 1/20.
5(3m + 4b) = 5(1/20).
15m + 20b = 1/4.
(218)

Anamika said:   9 years ago
Hi everyone I didn't understand this.

So please anyone explain it step by step for me.


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