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 4 of 21.

Naman said:   1 decade ago
Bhanu you are genius.

Fantastic approach.

Harish Raj said:   1 decade ago
Here is my approach.


Add the men and boys in each seniario which will be like the following,

6+8= 10 so (14 persons can do the work in 10 days) -- 1
26+48=74 so, (76 persons can do the work in 2 days) --2

now the question is, 20+15 i.e (35 person can do the work in how many days?)

take the second senario,

if 74 person can do the work in 2 days, 35 person do it in approx 4 (less than) days.

There is no Answer given less than 4, s0 we can take 4 as answer. simple. (CAT needs smart work than hard work)

AJAY LAKUM said:   1 decade ago
Thanks sudha good explanation.

Nandini said:   1 decade ago
Hi. Siddhu really very nice explanation. Thank you so much.

Nisha said:   1 decade ago
It can be solved more easily in this way
see in 1st ... 6 man are changing to 15 men in question ...n
8 boys r changing to 20 boys in q........so

Here we can see a change of "2.5" .. .( 6*2.5= 18 n 8*2.5=20)
as inverse relation with men n time........10 days will divded by 2.5
ans is 4days

Vishal kamdar said:   1 decade ago
Thanks bhanu chander.

P.swathi said:   1 decade ago
Is there any shot cut formulas to solve x and y values ?

Akhil said:   1 decade ago
Then apply x value into 1st equation
6x+8y=1/10
6*1/10+8y=1/10
8y=4/100
y=1/200

How comes 4/100 please explain?

Padmapriya said:   1 decade ago
6*1/100 + 8y =1/10
6/100 + 8y = 1/10
8y = (1/10) - (6/100)
on taking lcm =100
8y = (10 -6)/100
8y = 4/100

Shro said:   1 decade ago
Haha Siddharth skipping 2nd part of question and getting direct answer with easy way. Very nice dear thanku :).


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