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 22 of 29.

Abdul said:   1 decade ago
Hey Siva your way of solving is fantastic and understandable! Thanks.

Devendra kumar said:   9 years ago
Please tell me the easiest solution of this problem. Like LCM method.

Saikrishna said:   8 years ago
a b
x 3x

2x=60 so x=30

total work=3*30=90
Ans=90/4=22 1/2.

Rajender said:   2 decades ago
Please tell me how you have calculated differece of time 2 days.

Keerthi said:   1 decade ago
So by the explanation above we have to take in the ratio 1:3.

Govardhan reddy said:   1 decade ago
Why were their difference between days? Please explain to me.

Malini said:   1 decade ago
Sheetal thanks a lot dear. This short cut is very much easy.

Sharan said:   1 decade ago
@Jaswinder singh: I understood your explanation man. Thanks.

Sam said:   1 decade ago
Did they mention that difference of working time is 60 days.

Anitha said:   6 years ago
A:B = 1:3
2p = 60
P = 30
30 : 90
1/30 + 1/90 = 2/45 = 22.5.


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