Aptitude - Time and Work - Discussion

A and B
Work 3:1
Time 1:3
i.e. 30:90 ......multiply by 30.

And also they have given that the difference between the time taken to complete the work is 60.

Hence when A and B time to work together,
1/30+ 1/90 = 2/45,

Defer for A and B to complete the entire work they require 45/2 which is equivalent to 22 and A half-day.

Hi, friends, it's a bit tricky.

First, they found the time difference to do work between a and b.
Because the data we have is time difference in qn for 60 days consider.

Then. If a takes 1 day. B takes 3 days. So.

For 2 days time difference : 3 days for b

Then multiply both sides by 30 since the time difference is given

For 60 days time difference: 90 days of b.

I hope you all get it.

Then use ratio. A takes 30 days to complete work.

Please tell how A is working 30 days. How we calculate I don't understand.

***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.

Can someone provide a solution for this problem using percentages or the efficiency ration ?

Let a did this work in X days.
B can do it in 3x days.


X+60=3x.
X=30.

It means A can complete this work in 30 days and B in 90 days;
Capacity of;
A is 3.
B is 4.
A+B= 4.

TIME =90/4.

The ratio of work done by A & B= 1:3.
(Because A is thrice as good as B)
A' s work done = Less than 60 days than B.
So take B's work done = x days---(1)
Then A's work done = x-60---(2)
So, 1=x-60,
3= x.

So cross mutiply as per the ratio simplification.
x * 1= 3(x-60),
x=3x-180,
3x-x=180,
x =90.

As per (1) & (2)
B's work done = 90 days,
A's work done = 90-60 = 30 days,
(A+B)'s 1 day work done = 1/30 +1/90=4/90=2/45,
Total work done = 45/2= 22 1/2 days.

3/2 *60, how come 3/2?

x : 3x.
3x - x = 60,
=> 2x = 60,
=> x = 30,
1/30 + 1/90,
= 4/90.
= 22 (1/2).

@All.

We can easily convert it to a linear equation.

Let B requires x days and forA it is y
it is given,x = 3y.

In the same way;
X-60=Y
By solving we have 2x- 180=0 :.x=90.
and y=90 - 60 = 30.