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 4 of 35.

Ankita said:   4 years ago
@Jyoti.

It's 1 -7/15 as it is asking how much work is left. Which means 1 is the total amount of work, and 7/15 is the amount of work completed.

So, to get the remaining work we hv to subtract the work done by the whole work. Which is
1-7/15.
= 15/15 - 7/15.
= 15-7/15.
= 8/15.
Hope it helps.
(15)

Ashim said:   1 year ago
How 7/60 came? Anyone, please explain to me.
(14)

Hari said:   11 months ago
@Vishnu.

Can you explain the process in detail please?
(14)

VisHnu RaM said:   3 years ago
Thank you for giving the clear explanation @Swetha.

And 60 will come, No of days LCM

15 days to 15 * 4 = 60.
20 days to 20 * 3 = 60.

So, the LCM is 60.
(13)

UMAKANT CHAUDHARY said:   1 month ago
To solve this type of question,if days are given and if we have to find together work finishing days then,
= (15+20)/15 * 20,
= 35/300,
= 7/60.
Now, in 4 days they can do 4 * 7/60,
= 7/15.
So, Remaining work = 1-(7/15).
= 8/15.
(12)

Mish said:   2 years ago
@All.

Why (A+B)'s 4 days of work is calculated?
Why it's not 3,5,6,7 or any other day?
What is the logic behind it?
(10)

Syam said:   6 months ago
@Sree.
15 is written as = 5 * 3 and 20 is written as 2^2 *5 then 5 is the common then from 15 take 3 and 20 take 2 square, then 4*3*5=60 then 1 * 4/15 * 4 = 4/60 and for 1/20 =1 * 3/20 * 3 = 3/60.
Then the final answer is 4/60 + 3/60 = 7/60.
(10)

Kalai said:   1 year ago
How remaining work =1? Please explain to me.
(7)

Sugan said:   1 year ago
1 (total work) - 7/15 (together completed work in 4 days).
Lcm = 15 then (15/15 -7/15) = 8/15.
(7)

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)


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