# Time and Work Quiz 16

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# Time and Work Quiz 16

### Introduction

Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work Quiz 16 article candidates can find a question with an answer. By solving this question candidates can improve and maintain, speed, and accuracy in the exams. Time and Work Quiz 16 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

A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. C can do the work in how many days, working alone?
A. 5 days B. 10 days C. 15 days D. 20 days

B
Their combined 4 day work = $4(\frac {1}{10} + \frac {1}{15}) = \frac {12}{20} = \frac {3}{5}$
Remaining work = $1 – \frac {3}{5} = \frac {2}{5}$
This means C did $\frac {2}{5}$ work in 4 days, hence he can finish the complete work in $\frac {5}{2} \times 4 = 10$ days.

### Q2

A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?
A. 2 days B. 3 days C. 4 days D. 5 days

D
A's work in 9 days = $\frac {9}{12} = \frac {3}{4}$. Remaining work = $\frac {1}{4}$
This work was done by B in $\frac {1}{4} \times$ 16 = 4 days.
∴ B would have joined A after 9 – 4 = 5 days.

### Q3

A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?
A. 12 days B. 4 days C. 3 days D. 2 days

C
A, B, C and D will together take $\frac {1}{4} + \frac {1}{12} = \frac {4}{12} = \frac {1}{3} \Rightarrow$ 3 days to complete the work.

### Q4

A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?
A. 45 days B. 40 days C. 30 days D. 25 days

A
A + B take 40 days. B alone takes 180 days.
∴ A will take $\frac {1}{40} – \frac {1}{180} = \frac {7}{360} \Rightarrow \frac {360}{7}$ days.
B + C take 120 days.
∴ C alone will take $\frac {1}{120} – \frac {1}{180} = \frac {1}{360}$
i.e. 360 days.
∴ A & C together will take $\frac {7}{360} + \frac {1}{360}$
= $\frac {8}{360} \Rightarrow \frac {360}{8} = 45$ days to complete the work.

### Q5

A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.
A. 120 days B. 75 days C. 150 days D. 90 days

B
D alone will take $\frac {1}{20} – \frac {1}{50} – \frac {1}{60} = \frac {4}{300} = \frac {1}{75}$
$\Rightarrow$ 75 days to complete the work.