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:
284 comments Page 19 of 29.

Insane said:   9 years ago
Let A be X where as b = 3x.
So,
3x - x = 60.
x = 30.
a = 30, b = 90.

Together they can do the work in 22 (1/2) days.

Ankush Rana said:   1 decade ago
A is twice as good as workman B and together they finish a piece of work in 14 days. A alone can finish the work in.

Priti said:   6 years ago
***shortcut method******
D= no of days.
n= n times as fast.
D*n/n^2-1
60*3/3^2-1
180/9-1
180/8=90/4=22 1/2.

Yash Sangle said:   5 months 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.
(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:   9 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.
(62)

Nallapu Rishith Reddy said:   5 months 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.
(5)

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:   7 months ago
I am not understanding this question.

Anyone help me to get it be explaining it along with the formulas?
(18)

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?


Post your comments here:

Your comments will be displayed after verification.