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 11 of 21.

S.Sabarish said:   1 decade ago
Hello @Siddarth,

Your answers are extremely convincing. Please do give short cuts for other problems too.

Vikram sihag said:   1 decade ago
6m+8b = 10 days.

60m+80b =1 day eq.1.
15m+20b = ? eq.2.

Because eq.1 is 4 times eq.2, So ans is 4 days.

Keshav said:   8 years ago
@Sangeetha.

Please explain this equation and 1/200 how did it come?

6*1/10+8y=1/10.
8y=4/100.
y=1/200.

Ramya said:   1 decade ago
If they give 'or' instead of 'and' means we have to take + only.

Ex: 6 men and 8 boys.
6 men or 8 boys.

Naresh said:   10 years ago
2x+3y = 1/10 ----- (1).

3x+2y = 1/8 ------ (2).

2x+1y = ? ------- (3).

Answer: 12 1/2.

Is it right?

Pavan9966606261 said:   1 decade ago
Hi friends according to my instinct the simplest way was solved by himadri. It keeps our time in tact.

Prajesh 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.

Bantu Venkatesh said:   6 years ago
(6M+8B)10=(26M+48B)2.

8M=16B.
M:B
2:1.

12B + 8B-----10days
30B + 20B------?

=> 20/50 *10=4days.
(1)

Jacqueline said:   9 years ago
@Pravas.

How did you get 8m=16b/ I did not understand please can you explain it clearly?

Thanks.

HYACINTH S BABU said:   3 years ago
1M = 2BOY.
(15B+20B) = (6M+8B) * 10,
(15M+10M) * DAYS = (6M+4M)*10.
= 4 days is the right answer.
(15)


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