# Time and Work – Quiz 6

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# Time and Work – Quiz 6

### Introduction

Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work – Quiz 6 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Time and Work – Quiz 6 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 and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
A. 3.75 days B. 4 days C. 5 days D. 6 days

A
$\frac {1}{6} + \frac {1}{10} = \frac {8}{30} = \frac {4}{15}$
$\frac {15}{4}$ = 3.75 days

### Q2

A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A. 20 days B. 16 days C. 24 days D. 28 days

C
$\frac {1}{8} - \frac {1}{2} = \frac {1}{24} \Rightarrow 24 days$

### Q3

A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
A. 20 days B. 16 days C. 24 days D. 28 days

A
$\frac {1}{2} - \frac {1}{4} - \frac {1}{5} = \frac {1}{20} \Rightarrow 20 days$

### Q4

A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
A. 18 B. 20 C. 22 D. 24

B
x ------- 9
(x + 10) ---- 6
x $\times$ 9 = (x + 10)6
x = 20

### Q5

Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
A. 17 $\frac {1}{7}$ B. 16 $\frac {1}{7}$ C. 15 $\frac {1}{7}$ D. 14 $\frac {1}{7}$

A
$\frac {1}{30} + \frac {1}{40} = \frac {7}{120}$
$\frac {120}{7} = 17 \frac {1}{7}$ days