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:
283 comments Page 24 of 29.

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.

Neeraj said:   1 decade ago
A will finish the work 60 days lesser than B.

What is it mean please explain?

Gauarv said:   1 decade ago
Thanks harsha.

Brajesh Anuragi said:   1 decade ago
Thanks Showry for given the simple and correct ans.

Anu said:   1 decade ago
Awesome explanation HARSHA

Riyaz said:   1 decade ago
Ratio of times taken by A and B = 1 : 3.

That is If A takes 1 day B takes 3 days
Time Difference is 3-1 = 2 days

Here is the tricky part :
If A takes 1/2 day B takes 3/2 days
Time Difference is 3/2 - 1/2 = 1 days

When time difference is 60 days (Just mulitply by 60)
A takes 60/2 and B takes 3*60/2

So, A takes 30 days to do the work.
and B takes 90 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 = (1/30 + 1/90)= 4/90 = 2/45

A and B together can do the work in 45/2 = 22+1/2

Sundar said:   1 decade ago
If difference of time is 60 days 3*60/2 = 90 days.

I can't get this step?

Please explain.

Vinod reddy said:   1 decade ago
THANK U SHEETAL,your short cut method is simply super.there is no words to say

Sunil reddy said:   1 decade ago
We can use a simple formula here:[(KL)/k squqre-1)]

-->here K=3(efficiency),L=60(time) so (3*60/(3*3)-1)=>180/8=221/2

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?


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