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:
347 comments Page 1 of 35.

Deepak Kumar said:   3 weeks ago
@All.

Here's my explanation.

A+B (1day work) ---> 4 + 3 => 7.
A+B (4day work) ---> 7 * 4 => 28.

Remaining Work = 60 - 28 = 32.
Fraction of Work left = 32/60 => 8/15.
(17)

Jaiprakash said:   1 month ago
A > 15 both LCM 60.
B > 20.

(A+B ) * 4 = 60.
7 * 4 = 28.
60 - 28/60.
32/60 = 8/15.
(8)

Bhawana said:   2 months ago
Please explain me about the remaining work.
(8)

UMAKANT CHAUDHARY said:   6 months 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.
(44)

Pankaj Kushwah said:   6 months ago
The answer is 8/15.
Lcm of 15 and 20.
Then it will give you 60.
Now 60/15 = 4, 60/20 = 3.
Together for one day 4 + 3 = 7.
For 4 days = 4 * 7 = 28.
60 - 28 = 32.
32/60 = 8/15.
(125)

SFG said:   6 months ago
Thanks for explaining the answer @Anjali thakur.
(16)

Anjali thakur said:   7 months ago
The answer is 8/15.
Lcm of 15 and 20.
Then it will give you 60.
Now 60/15 = 4, 60/20 = 3.
Together for one day 4 + 3=7.
For 4 days = 4 * 7=28.
60-28 = 32.
32/60 = 8/15.
(66)

Guna said:   8 months ago
Agree, the answer is D.
(6)

Syam said:   10 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.
(11)

Sajid said:   10 months ago
(+1-7/15).
(-*-=+) = 8/15.
(3)


Post your comments here:

Your comments will be displayed after verification.