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 12 of 21.
Anton said:
9 years ago
How to get 15/100 + 20/200 = 4?
Pravas said:
9 years ago
We can do also,
(6m + 8b) * 10 = (26m + 48B) * 2,
=> 60m + 80b = 52m + 96b,
=> 8m = 16b,
=> m/b = 16/8 = 2 : 1.
Total work = (6m + 8b) * 10.
= (6 * 2 + 8 * 1) * 10 = 200.
As per question, 15 men and 20 boys will do the same work in => (15 * 2 + 20 * 1) = 50 i.e That is m/b = 2 : 1.
Total days = total work/total men and boys => 200/50 = 4 days.
(6m + 8b) * 10 = (26m + 48B) * 2,
=> 60m + 80b = 52m + 96b,
=> 8m = 16b,
=> m/b = 16/8 = 2 : 1.
Total work = (6m + 8b) * 10.
= (6 * 2 + 8 * 1) * 10 = 200.
As per question, 15 men and 20 boys will do the same work in => (15 * 2 + 20 * 1) = 50 i.e That is m/b = 2 : 1.
Total days = total work/total men and boys => 200/50 = 4 days.
(2)
Deepika said:
9 years ago
Thanks @Pravas.
Bhagi said:
9 years ago
Can anyone tell formula for this question?
Ash said:
9 years ago
I am not getting the solution.
Will anyone solve the equation for me?
Will anyone solve the equation for me?
Jacqueline said:
9 years ago
@Pravas.
How did you get 8m=16b/ I did not understand please can you explain it clearly?
Thanks.
How did you get 8m=16b/ I did not understand please can you explain it clearly?
Thanks.
Alia said:
9 years ago
@Atul1487.
Your method was awesome! I liked it well, thanks for that.
Your method was awesome! I liked it well, thanks for that.
Sachin said:
9 years ago
Why it takes 1/10 and 1/2 respectively? Please explain me.
Nagendran Periyasamy said:
9 years ago
Can anyone explain that 1/100 and 2/200?
Gourav Singh said:
9 years ago
14 * 10/35 = 4days
8 + 6 = 14.
8 + 6 = 14.
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