## Short cut tricks of Time and Work

**Short cut tricks of Time and Work**

**Time and Work problems are most frequently asked problems in quantitative aptitude. To solve**

these problems very quickly, you should understand the concept of Time and Work and some

shortcut methods.

If a man can do a piece of work in 5 days, then he will finish 1/5th of the work in one day.

If a man can finish 1/5th of the work in one day then he will take 5 days to complete the work.

If a man 5/6th of work in one hour then he will take 6/5 hours to complete the full work.

If A works three times faster than B then A takes 1/3rd the time taken by B.

Here are some shortcut rules which can be very useful while solving Time and Work problems.

In total 9 rules are given here.

**Rule 1: Universal Rule**

This rule can be used in almost every problem.

If M1 persons can do W1 work in D1 days and M2 persons can do W2 works in D2days then we can say

M1*D1*W2 = M2*D2*W1

If the persons work T1 and T2 hours per day respectively then the equation gets modified to

M1*D1*T1*W2 = M2*D2*T2*W1

If the persons has efficiency of E1 and E2 respectively then,

M1*D1*T1*E1*W2 = M2*D2*T2*E2*W1

**Rule 2:**

If A can do a piece of work in n days, then

The work done by A in one day = 1/n

**Rule 3:**

If A can do a work in D1 days and B can do the same work in D2 days then A and B together can do

the same work in (D1*D2/(D1+D2))

**Rule 4:**

If A is twice as good a workman as B, then A will take half of the time taken by B to complete a

piece of work.

**Rule 9:**

If the number of men are changed in the ratio of m:n, then the time taken to complete the work

will change in the ratio n:m

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