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:
201 comments Page 16 of 21.
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.
Soumya said:
7 years ago
If we will compare between (6M+8B) & (15M+20B)
Then it can be seen that in 2nd equation M and B is exactly 2.5 times more than a 1st equation,
So, working time also will be 2.5 times less.
So, the answer is, 10/2.5= 4 days.
Then it can be seen that in 2nd equation M and B is exactly 2.5 times more than a 1st equation,
So, working time also will be 2.5 times less.
So, the answer is, 10/2.5= 4 days.
Ashwani roshan said:
7 years ago
(6m+8b)*10=(26m+48b)*2=(15m+20b)*x.
60m+80b=52m+96b.
m/b=2/1.
(26*2+48*1)*2=(15*2+20*1)*x.
(52+48)*2=(30+20)*x.
200/50=X.
X = 4days.
60m+80b=52m+96b.
m/b=2/1.
(26*2+48*1)*2=(15*2+20*1)*x.
(52+48)*2=(30+20)*x.
200/50=X.
X = 4days.
(1)
Ashish agrawal said:
6 years ago
Here; the solution is;.
6M+8B =10 days mean 15M +20B WILL TAKE LESS time than (6m +8B) will more less than half mean less than 5 days the only one option is 4 days.
6M+8B =10 days mean 15M +20B WILL TAKE LESS time than (6m +8B) will more less than half mean less than 5 days the only one option is 4 days.
Yaamu said:
6 years ago
Not understanding this please anyone can explain?
(1)
HARIPRASAD K N said:
6 years ago
See; 26 men +48 boys =74 people would complete a work in 2 day's means nearly half of that 15 men + 20 boys = 35 people would complete the work in 4 days.
Sapna verma said:
6 years ago
6*2 = 12 + 8 * 2 =16.
6 ÷ 2 = 3 --- 8 ÷ 2=4,
=15 and = 20.
15/6= 2.5 times also 20/8= 2.5 times.
Hence 10/2.5 = 4 days.
6 ÷ 2 = 3 --- 8 ÷ 2=4,
=15 and = 20.
15/6= 2.5 times also 20/8= 2.5 times.
Hence 10/2.5 = 4 days.
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