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 19 of 21.
Suraj said:
8 years ago
Thanks for explaining the solution.
Chandra sekhar reddy said:
8 years ago
Thank you all for explaining the solution.
Nikhil mane said:
7 years ago
1st
6men+8boy=1/10days.
Take 2 common from above eq.
2(3men+4boy)=1/10days.
3men+4boy=1/(10*2)
3men+4boy=1/20.
15men+20 boys= ??days.
3men+4boy=1/20.---->multiply this term with 5.
5(3men+4boy)=(1/20)*5.
Now solve:
15men+20boy=4days.
6men+8boy=1/10days.
Take 2 common from above eq.
2(3men+4boy)=1/10days.
3men+4boy=1/(10*2)
3men+4boy=1/20.
15men+20 boys= ??days.
3men+4boy=1/20.---->multiply this term with 5.
5(3men+4boy)=(1/20)*5.
Now solve:
15men+20boy=4days.
Varsha said:
7 years ago
Then apply x value into 1st equation.
6x+8y=1/10.
6*1/10+8y=1/10,
8y=4/100,
y=1/200.
In the above solution;
How come 6*1/10+8y=1/10?
Please explain the above line.
6x+8y=1/10.
6*1/10+8y=1/10,
8y=4/100,
y=1/200.
In the above solution;
How come 6*1/10+8y=1/10?
Please explain the above line.
Subham said:
7 years ago
@All.
M1D1=M2D2.
M1=6men+8boys=14
D1=10,M2=15men+20boys=35
D2=?
or,D2=(M1XD1)/M2.
or,D2=(14X10)/35=4.
So the answer will be 4 days.
M1D1=M2D2.
M1=6men+8boys=14
D1=10,M2=15men+20boys=35
D2=?
or,D2=(M1XD1)/M2.
or,D2=(14X10)/35=4.
So the answer will be 4 days.
Manikanta said:
7 years ago
According to me,
6men + 8boys = 10 days = 60md + 80bd -----> 1 (md = men and days).
26men + 48boys =2 days = 52md + 96bd ----->2
So,
60md + 80bd = 52md + 96bd,
60md - 52md=96bd - 80bd,
8md = 16bd.
1md = 2bd reciprocal of this so we can get 2boys=1men or 1 men = 2boys.
So 15 men and 20 boys in doing the same type of work will be;
40/7.5 = 4.
6men + 8boys = 10 days = 60md + 80bd -----> 1 (md = men and days).
26men + 48boys =2 days = 52md + 96bd ----->2
So,
60md + 80bd = 52md + 96bd,
60md - 52md=96bd - 80bd,
8md = 16bd.
1md = 2bd reciprocal of this so we can get 2boys=1men or 1 men = 2boys.
So 15 men and 20 boys in doing the same type of work will be;
40/7.5 = 4.
Balaji pawar said:
7 years ago
According to question.
(6m+8B)*10=(26M+48B)*2.
We get ratio man to boy,
M:B=2:1,
Now to calculate total work.
Put this ratio to the above equation,
Let see how,
(6M+8B)*10 = (6*2+8*1)*10=200.
Total work =200.
15 Man And 20 boy can do work in how many day.
Put above ratio to this15 man to20 boy,
(15M+20B)=(15*2+20*1)=50,
Total work =200.
15m+20 b can do work in =200/50,
=4 day.
(6m+8B)*10=(26M+48B)*2.
We get ratio man to boy,
M:B=2:1,
Now to calculate total work.
Put this ratio to the above equation,
Let see how,
(6M+8B)*10 = (6*2+8*1)*10=200.
Total work =200.
15 Man And 20 boy can do work in how many day.
Put above ratio to this15 man to20 boy,
(15M+20B)=(15*2+20*1)=50,
Total work =200.
15m+20 b can do work in =200/50,
=4 day.
Ticis said:
7 years ago
Thanks for your answer @Sidhu.
Anomii said:
7 years ago
@Sidhu
How you got 1/60=3/5 in that equation? Please explain that.
How you got 1/60=3/5 in that equation? Please explain that.
Sai naresh said:
7 years ago
Hi, I am Sai Naresh.
Another simple way of solving the 6th question.
(M*D*H)/W=(M*D*H)/W.
By using this formula we can do many ques.
(M) Men, it may be boy or girl just add up.
D days.
H hours.
W work.
If, data is not mentioned just remove what u don't need.
14*10=74*2=35*X.
BY EQUATING 14*10=35*X.
X = 140/35 = 4days.
Another simple way of solving the 6th question.
(M*D*H)/W=(M*D*H)/W.
By using this formula we can do many ques.
(M) Men, it may be boy or girl just add up.
D days.
H hours.
W work.
If, data is not mentioned just remove what u don't need.
14*10=74*2=35*X.
BY EQUATING 14*10=35*X.
X = 140/35 = 4days.
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