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:
204 comments Page 18 of 21.
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.
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)
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)
Naman said:
2 decades ago
Bhanu you are genius.
Fantastic approach.
Fantastic approach.
Xyz said:
2 decades ago
Thanks Meera..!!!
Shashank said:
2 decades ago
@Siddhu thanks mate.
Ovii said:
2 decades ago
I have a question from himadri or anyone who can answer this.
What will be the answer if the last line of question be like "25 men and 19 boys in doing the same type of work will be". Then we still continue multipling it by 5 or it has another way?
What will be the answer if the last line of question be like "25 men and 19 boys in doing the same type of work will be". Then we still continue multipling it by 5 or it has another way?
Ovii said:
2 decades ago
Himadri way is good for calculating it mentally!
Surya said:
2 decades ago
Siddu good work man.
Bhanu Chander said:
2 decades ago
(6Men+8Boy).10=(26Men+48Boy).2
solve the above eq
1Men=2Boy
15Men+20Boy=25Men
6men+ 4men=(// 1men=2Boy)
10men ---10days
25men---?
10*10=25*D
D=4days
25men=15men+20boy=4days
solve the above eq
1Men=2Boy
15Men+20Boy=25Men
6men+ 4men=(// 1men=2Boy)
10men ---10days
25men---?
10*10=25*D
D=4days
25men=15men+20boy=4days
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