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:
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 17 of 21.
Divya said:
1 decade ago
Thanks siddu and banu.
Shro said:
1 decade ago
Thank you Meera :).
Shro said:
1 decade ago
Haha Siddharth skipping 2nd part of question and getting direct answer with easy way. Very nice dear thanku :).
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
6/100 + 8y = 1/10
8y = (1/10) - (6/100)
on taking lcm =100
8y = (10 -6)/100
8y = 4/100
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?
6x+8y=1/10
6*1/10+8y=1/10
8y=4/100
y=1/200
How comes 4/100 please explain?
P.swathi said:
1 decade ago
Is there any shot cut formulas to solve x and y values ?
Vishal kamdar said:
1 decade ago
Thanks bhanu chander.
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
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
Nandini said:
1 decade ago
Hi. Siddhu really very nice explanation. Thank you so much.
AJAY LAKUM said:
1 decade ago
Thanks sudha good explanation.
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