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 :
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.
= (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.
"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.
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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