Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 4)
4.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
20 days
22 1 days
2
25 days
30 days
Answer: Option
Explanation:

Ratio of times taken by A and B = 1 : 3.

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes 3 x 60 = 90 days.
2

So, A takes 30 days to do the work.

A's 1 day's work = 1
30

B's 1 day's work = 1
90

(A + B)'s 1 day's work = 1 + 1 = 4 = 2
30 90 90 45

A and B together can do the work in 45 = 22 1 days.
2 2

Discussion:
281 comments Page 19 of 29.

Yash Sangle said:   1 month ago
3/1 = (B)/(B-60).

As work done and time are inversely related,
So, B=90, A=30.
(1/90 + 1/30) = (2/45),
So, 22 1/5.

Abhay said:   1 decade ago
@Neeraj-A will finish the work 60 days lesser than B,means if B takes 60 days to complete the work,A takes 1 day.

Nikita raisadhar said:   5 months ago
3x - x=60
2x = 60
x = 30
B = 3x = 3 x 30 = 90.
A+B = 1/30 + 1/90,
= 3 + 1/90,
= 4/90,
= 2/42,
= 45/2,
= 22 1/2.
(46)

Nallapu Rishith Reddy said:   1 month ago
3/1 = (B)/(B-60).
As work done and time are inversely related,
so, B=90, A=30.
(1/90+1/30)=(2/45),
So, 22 1/5.
(4)

Jiban said:   8 years ago
Can it be in this way?

B will take 180 days more than A. Then calculate for 1 day.

Can anyone solve this?

Raseswari said:   3 months ago
I am not understanding this question.

Anyone help me to get it be explaining it along with the formulas?
(9)

Atul1487 said:   1 decade ago
What is need to take time difference?

How will I come to know that I need to calculate time difference?

Sanchi said:   1 decade ago
Very simple way.
3A=1B
B takes x days.
3 (x-60) =x
3x-x=180
X dats is B=90, A=30.
Now,
1/90+1/30=22. 5.

Naresh said:   1 decade ago
1:3.

Total 4 parts.

90/4=22.5 (one part).

Here one part means A's work. Remaining 77.5 belongs to B.

Jack said:   8 years ago
Can anyone explain me why the step 3/2*60 used. I couldn't get the logic of finding difference as 2.


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