Shortcut Method to Solve Problems on Time and Work -Part 2

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

$\frac{Man}{Boy}=\frac{n{{b}_{2}}-{{b}_{1}}}{{{a}_{1}}-n{{a}_{2}}}$ 

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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