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 28 of 35.

Dipen said:   1 decade ago
How come Remaining work 1-7/15 (note:- why come 1 value )

Sanjana said:   1 decade ago
Thank you sundar nice explanation

GUHAN said:   1 decade ago
@Swetha why mutiply with (A*TOTAL CAPACITY)?

Pramesh said:   1 decade ago
@Rashmi, @Satish : 1/15 + 1/20 Now to make the denominator value equal take LCM i.e. ,
= (1*20) / (15*20) + (1*15) / (15*20) Now simplify these,
i.e. , multiply the values i.e. ,
= (20/300) + (15/300).
Now, both the denominator are equal, so you can add the numerator values i.e. , = (20+15) /300 = 35/300,
Now simplifying this i.e. , cancelling both numerator and denominator by 5 (a common value which both will get cancel) ,
We get 7/60. Hope this will help you to understand the problem.

Satish said:   1 decade ago
1/15+1/20= 7/60 How ? Please explain me clearly.

Rashmi said:   1 decade ago
How did you get 7/60 please answer in simple method and tell how got 7.

Esha said:   1 decade ago
How did 7/20 come?

Swamy akunoori said:   1 decade ago
Good explanation anshu.

Anshu said:   1 decade ago
"A" can can do a work in 15 days therefore he did 1/15 of the work in a day.
"B" can do the same work in 20 days therefore he did 1/20 of the work in a day.

Therefore.

[1/15 + 1/20]4 = [4/60 + 3/60]4.

[7/60]4 = 7/15 of the work done.

The total work left = 1 - 7/15 = 15 - 7/ 15 = 8/15.

Thyag said:   1 decade ago
Hi Manoj,

You need to simplify big number 35/300 in to small number for further calculation.

So, you need to divide one common number of both numerator and denominator.

You couldn't select 2, 3 and 4 as a dividing number. But you can use 5 as a common divider.

If you divide 5 in both numerator and denominator, you will get 7/60.

I hope your doubt clarified.


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