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 11 of 21.
Kermiki Bang said:
7 years ago
Apply the value of x = 1/100 in Eqn 1, we get,
6/100+8y = 1/10.
Take LCM you will get the answer y = 1/200.
6/100+8y = 1/10.
Take LCM you will get the answer y = 1/200.
Raza said:
6 years ago
6x+8y = 1/10----------(1)
Taking 2 common on LHS
3x+4y = 1/20,
Multiply it by 5 on both side,
15x+20y = 4.
Taking 2 common on LHS
3x+4y = 1/20,
Multiply it by 5 on both side,
15x+20y = 4.
(12)
S.Sabarish said:
1 decade ago
Hello @Siddarth,
Your answers are extremely convincing. Please do give short cuts for other problems too.
Your answers are extremely convincing. Please do give short cuts for other problems too.
Vikram sihag said:
1 decade ago
6m+8b = 10 days.
60m+80b =1 day eq.1.
15m+20b = ? eq.2.
Because eq.1 is 4 times eq.2, So ans is 4 days.
60m+80b =1 day eq.1.
15m+20b = ? eq.2.
Because eq.1 is 4 times eq.2, So ans is 4 days.
Keshav said:
9 years ago
@Sangeetha.
Please explain this equation and 1/200 how did it come?
6*1/10+8y=1/10.
8y=4/100.
y=1/200.
Please explain this equation and 1/200 how did it come?
6*1/10+8y=1/10.
8y=4/100.
y=1/200.
Ramya said:
1 decade ago
If they give 'or' instead of 'and' means we have to take + only.
Ex: 6 men and 8 boys.
6 men or 8 boys.
Ex: 6 men and 8 boys.
6 men or 8 boys.
Naresh said:
1 decade ago
2x+3y = 1/10 ----- (1).
3x+2y = 1/8 ------ (2).
2x+1y = ? ------- (3).
Answer: 12 1/2.
Is it right?
3x+2y = 1/8 ------ (2).
2x+1y = ? ------- (3).
Answer: 12 1/2.
Is it right?
Pavan9966606261 said:
2 decades ago
Hi friends according to my instinct the simplest way was solved by himadri. It keeps our time in tact.
Prajesh said:
1 decade ago
2x+3y=1/10 ----- (1).
3x+2y=1/8 ------ (2).
We want to find: 2x+1y=?---- (3).
Any one can solve this.
3x+2y=1/8 ------ (2).
We want to find: 2x+1y=?---- (3).
Any one can solve this.
Bantu Venkatesh said:
7 years ago
(6M+8B)10=(26M+48B)2.
8M=16B.
M:B
2:1.
12B + 8B-----10days
30B + 20B------?
=> 20/50 *10=4days.
8M=16B.
M:B
2:1.
12B + 8B-----10days
30B + 20B------?
=> 20/50 *10=4days.
(1)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers