# Time and Work Quiz 12

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# Time and Work Quiz 12

### Introduction

Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work Quiz 12 article candidates can find questions with an answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Time and Work Quiz 12 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

### Q1

P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completed
A. 10 B. 15 C. 20 D. 25

A
$(\frac {1}{10} + \frac {1}{20}) \times (T-5) + \frac {5}{20} = 10$ (T is the number of days in which the work is completed)

### Q2

Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completed
A. 5 $\frac {3}{7}$ B. 6 $\frac {5}{7}$ C. 7 $\frac {5}{6}$ D. 5 $\frac {6}{7}$

D
$\frac {1}{7} + \frac {1}{5} = \frac {12}{35}$ this much work is completed in 2 days.
So $\frac {24}{35}$ will be completed in 4 days
In the next day, $\frac {29}{35}$ work get completed in 5 days, so remaining work will be completed by Ram in 5$\frac {6}{7}$ days

### Q3

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
A. 4 days B. 6 days C. 8 days D. 18 days

A
Ratio of rates of working of A and B = 2 : 1.
So, ratio of times taken = 1 : 2.
B's 1 day's work = $\frac{1}{12}$
i.e, A's 1 day's work = $\frac{1}{6}$ ; (2 times of B's work)
(A + B)'s 1 day's work = $[\frac{1}{6} + \frac{1}{12}] = \frac{3}{12} = \frac{1}{4}$
So, A and B together can finish the work in 4 days.

### Q4

A does half as much work as B in one third of the time taken by B. If together they take 20 days to finish the work then what will be the share of A if 1000 rupees is given for the whole work?
A. 400 B. 500 C. 600 D. 700

C
Let B take x days to complete the work, then A will take =$\frac {x}{3} + \frac {x}{3} = \frac {2x}{3} +$ days (as half work is completed in one third of the time)
$\frac {3}{2x} + \frac {1}{x}\frac {1}{20}$
X = 50. So A will complete the work in $\frac {100}{3}$ days and B will complete the work in 50 days.
Ratio of work done by A and B – $\frac {3}{100} :\frac {1}{50} = 3:2$
So A share = $\frac {3}{5} \times 100 = 600$

### Q5

A does half as much work as B does in one sixth of the time. If together they take 20 days to complete the work, then what is the time taken by A to complete the work independently.
A. $\frac {80}{3}$ B. $\frac {100}{3}$ C. $\frac {60}{3}$ D. $\frac {140}{3}$

A
Let B complete the work in X days so in one day work done by B is $\frac {1}{x}$
As A do half work in one-sixth of the time so A will complete work in $2 \times \frac {x}{6} = \frac {x}{3}$ days
One day work of A and B i.e. $\frac {3}{x} + \frac {1}{x} = \frac {1}{20}$. So we get x = 80
So time taken by A alone = $\frac {80}{3}$ days

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