Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 1)
1.
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1
4

1
10

7
15

8
15

Answer: Option
Explanation:

A's 1 day's work = 1 ;
15

B's 1 day's work = 1 ;
20

(A + B)'s 1 day's work = ( 1 + 1 ) = 7 .
15 20 60

(A + B)'s 4 day's work = ( 7 x 4 ) = 7 .
60 15

Therefore, Remaining work = ( 1 - 7 ) = 8 .
15 15

Discussion:
344 comments Page 13 of 35.

Swetha said:   3 years ago
First of all, thank you to explain the method.

I have a doubt that how we know to take (i.e Total work = 60)?

Anyone, please help me to get it.
(6)

ANI KONAR said:   9 years ago
Short trick:

15, 20 LCM 60.

4, 3 efficiency.

4 + 3 = 7 in 1 day.

7 * 4 = 28 in 4 days.

Remaining = 60 - 28 = 32.

In fraction 32/60 = 8/15.

Tricky said:   1 decade ago
Efficiency Method:

Total 60 unit.

A = 60/15 = 4.

B = 60/20 = 3.

Total = 7/60.

In 4 days = 4*7/60 = 28/60 = 7/15.

Remain = 1-7/15 = 8/15.

Rahul said:   1 decade ago
Ok.

I guess the easier way to explain this is to subtract(20days-14days)= 5 days,

We have calculated for 4 days, therfore remaining is 1;)

Prasad said:   1 decade ago
(1/15+1/20) = 7/60.

Explanation:

15 = 5*3.
20 = 5*4.
Here the common nums are 3,4,5.

3*4*5 = 60.
60/15 = 4.
60/20 = 3.
(3/60+4/60) = 7/60.

RPV said:   10 years ago
Why in this sum answer is not reciprocated in time and work problem the answer must be in reciprocal? Ex. 8/15 is written as 15/8 am correct.

RPV said:   10 years ago
Tulsi and Ram can do a job alone in 20 days and 30 days respectively. In how many days the job will be finished if they work together?

Jansi said:   1 decade ago
I understood upto 7/15. I can't understand how they are telling total work 1. From that they were minusing 7/15 can you explain me.

Aravind_appu said:   1 decade ago
A = 1/15.
B = 1/20.

Together TH = A+B.

TH = (1/15+1/20).

TH/4 = (1/15+1/20).

TH = 4((35/15*20)).

TH = 7/15.

= 1-7/15 = 8/15.

ASHLYMOL SAJU said:   10 years ago
A B A+B.

15 20 4.

Work = Efficiency/Time.

Work = LCM of A B A+B.

W = 60.

A B A+B = 4 3 15.

Total = 7/15.

Remaining = 8/15.


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