# Shortcut ways to Solve Problems on Time and Work - 2

## Effective for IBPS PO - SBI PO Exam

**Dear Reader,**

Here we will start a series of Quantitative Aptitude Shortcut Tricks for your upcoming SBI - IBPS - SSC and Other Government Competitive Exams. We will try to cover up all topics of the quantitative Aptitude Sections from which question was generally asked.

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**Trick - 1**

If ${{a}_{1}}$ men and ${{b}_{1}}$ boys working together can do n times as much work per hr as ${{a}_{2}}$ men ${{b}_{2}}$ boys together, then the comparison of the work of a man with that of a boy is given by

**Trick - 2**

If ${{x}_{1}}$ men of ${{y}_{1}}$ women can reap a field in 'D' days, then ${{x}_{2}}$ men and ${{y}_{2}}$ women take to reap it

$\left[
\frac{D\left( {{x}_{1}}{{y}_{1}}
\right)}{{{x}_{2}}{{y}_{1}}+{{x}_{1}}{{y}_{2}}} \right]days$

**Trick - 3**

If A and B can do a work in x and y days respectively, and B leaves the work after doing for 'a' days, then A does the remaining work in

$\left[
\frac{\left( y-a \right)x}{y} \right]days$

**Trick - 4**

A, B and C together can do a work in x days , A alone can do the work in 'a' days and B alone can do the same work in 'b' days, then C will do the same work in

$\left[
\frac{xab}{ab-x(a+b)} \right]days$

**Trick - 5**

A and B can do a piece of work in x and y days respectively, and both of them starts the work together. If B leaves the work 'a' days before the completion of work, then the total time, in which the whole work is completed

$=\left[
\frac{\left( y+a \right)x}{x+y} \right]days$

**Trick - 6**

A can do a work in x days and B can do the same work in y days. If they work together for 'd' days and A goes away, then the number of days in which B finishes they work is given by

$y-\left(
1+\frac{y}{x} \right)d$ days

**Questions for Practice**

**Q1. 5 men and 2 boys working together can do 4 times as much work per hour as men and a boys together, Compare the of the work of a man with that of a boy.**

**Q2. If 3 men of 4 women can reap a field in 43 days, how long will 7 men and 5 women take to reap it ?**

**Q3. A can do a work in 15 days and B alone can do that work in 25 days. If B after doing 5 days leaves the job, find in how many days A will do the remaining work ?**

**Q4. A, B and C together can do a work in 6 days . A alone can do the work in 18 days and B alone can do the same work in 27 days. Find in what time C can do that work ?**

**Q5. A and B can do a piece of work in 15 and 25 days. Both starts the work together for some time, but B leaves the job 7 days before the work is completed. Find the time in which work is finished.**

**Q6. A can do a work in 25 days and B can do the same work in 20 days. They work together for 5 days and A goes away. In how many days will B finishes they work ?**

__Answers__**Answer 1.**

**$\frac{2}{1}$**

**Answer 2. 12 days**

**Answer 3. 12 days**

**Answer 4.**

**$13\frac{1}{2}days$**

**Answer 5. 12 days**

**Answer 6. 11 days**

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