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:
203 comments Page 20 of 21.
Manav said:
2 decades ago
@ vicky
2(3x+4y)= 1/10
now, take that 2 to the other side of the eqn, we get
3x+4y= 1/20
2(3x+4y)= 1/10
now, take that 2 to the other side of the eqn, we get
3x+4y= 1/20
Richa said:
2 decades ago
Hi siddhu! thanks friend.
Chetan said:
2 decades ago
Proceed the same way as Meera has done it for Sangeeta.
Vicky said:
2 decades 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
Vicky said:
2 decades ago
@Sidhu
We want to find: 15x+20y=?----(3)
now taking 2 common form equ(1),
We get: 2(3x+4y)=1/10
So we have, 3x+4y=1/20...ok...///// if we take 2 common ok
2(3x+4y)ok but how u get = 1/20 hmmmmmm
We want to find: 15x+20y=?----(3)
now taking 2 common form equ(1),
We get: 2(3x+4y)=1/10
So we have, 3x+4y=1/20...ok...///// if we take 2 common ok
2(3x+4y)ok but how u get = 1/20 hmmmmmm
Jyothi said:
2 decades ago
Hi siddu.
I'm jyothi. You are genious. Thanks friend.
I'm jyothi. You are genious. Thanks friend.
(1)
Nagarjun said:
2 decades ago
@Bharathi.
Hey its not 1/100+1/200=4
Its (15/100)+(20/100)
This vl give 1/4, vch is 1 day's work, and finally they can complete it in 4 days.
Hey its not 1/100+1/200=4
Its (15/100)+(20/100)
This vl give 1/4, vch is 1 day's work, and finally they can complete it in 4 days.
Bharathi said:
2 decades ago
How 1/100+1/200=4 ?
Arun said:
2 decades ago
There must be a faster way of doing this mentally. Like skipping the equation part. Some kind of approximation. Does anyone know?
Singh said:
2 decades ago
Siddu you are genious friend.
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