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:
287 comments Page 22 of 29.

Yash said:   7 years ago
(T*T.D)/(T^2-1).

T-EFFICIENCY.
T.D-TIME DIFFERENCE.

So;
3*60/9-1 = 22.5.

Dinesh said:   6 years ago
Please tell how A is working 30 days. How we calculate I don't understand.

Pavethra said:   1 decade ago
I tell that A is thrice as good as B so it should be 3:1 na.

Am I right?

Shro said:   1 decade ago
Indhu very easy simple explanation as per the question.
Good :) thanku :)

Lins said:   1 decade ago
1:3 = x:(x+60).

1/3 = x/(x+60).

So x+60 = 3x.

60 = 2x.

Then x = 30.

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.
(1)

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


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