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:
201 comments Page 14 of 21.

Manisha said:   8 years ago
Well said. Thank you for this @Siddharth.

Devi said:   8 years ago
Can you please explain in LCM method?

Bhavani said:   8 years ago
Thank you for the explanation @Siddharth.

Ranjitgh said:   8 years ago
If 10x= 1/10 means. Then x =1, na. How come x=1/100.

Naresh said:   8 years ago
The total work is same if take all men and boys are equal then we can write.
(6+8)*10=(15+20)*x.
By solving x=4.
As we know work =eff*time.

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.

Bilal khan said:   8 years ago
Please explain 10/100 20/200.

Nandhini said:   7 years ago
Thanks @Meera.

Anurag Chachan said:   7 years ago
Answer will be 5.

Anup S. said:   7 years ago
@Siddharth.

Very well explained.


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