# Time and Work Shortcuts/Tricks

#### Time and Work- Model-2(Days based)

If you are confused on this please read first post then you will get clarification on this

#### 1.A can do a piece of Work in X days and B can do the same work in 3X days. To finish the work together they take 12 days. Then what is the value of X?

Ans)

A=X     days                    X=?
B=3X   days
A+B=12 days

Take the LCM of A and B(Total units)
=3X

• Let us find the A's one days's Work = (3X/X)   =3units/day
•                          B's one days's Work = (3X/3X)   =1units/day

Now A+B's one day's Work= 3+1
= 4 units/day

• Now the value of X=(Total units/(A+B)'s one day's work)
=3X/4
X=4/3