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 7 of 29.

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

Baskar said:   1 decade ago
@bharathi
i think u r in confusion..
just know dat
work = day..
1 day = 2/45 works..
in ques ask abt "work"?
den cross mul
1 work = 45/2 days..
now u got it

G.P. said:   1 decade ago
SIMPLE AND BEST WAY
since a is thrice better than b
hence a:b=1:3
similarly a takes 60 days less than b
hence a:b=(b-60):b=1;3
cross multiplication n we get
3b-180=b hence b=90days hence a=30days
1/90+1/60=4/90 hence total daysreciprocal 90/4=45/2

Nishant said:   1 decade ago
@ G.P.

Thanks. I like the way you solve it.

Balaji said:   1 decade ago
Showry you explained superbly.

Prathyusha said:   1 decade ago
SIMPLE AND NICE EXPLANATION!... @KUMAR

Vani said:   1 decade ago
Showry's explanation is good.

Hindu said:   1 decade ago
Hai sheetal your shortcut method helps lot to understand so quickly its really super.

Naveen kumar said:   1 decade ago
Hi friends, Here is a simple technique to calculate the above problem....

Given,

If the If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days, B takes......?

We can represent the above relation like this,

2------->3
60------>....?

By cross multiplying the above terms we will get... 60*3/2 = 90.

Note:- Always individual term should come in the denominator.

By applying the above procedure you can solve any problem of this type....

I think this technique will help you while doing with this type of problems...

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


Post your comments here:

Your comments will be displayed after verification.