# Time and Work – Quiz 3

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# Time and Work – Quiz 3

### Introduction

Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work – Quiz 3 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 3 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

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
A. 3 B. 5 C. 7 D. 8

C
1 woman's 1 day's work = $\frac{1}{70}$
1 child's 1 day's work = $\frac{1}{140}$
(5 women + 10 children)'s day's work = ($\frac{5}{70}$ + $\frac{10}{140}$) = ($\frac{1}{14}$ + $\frac{1}{14}$) = $\frac{1}{7}$
5 women and 10 children will complete the work in 7 days.

### Q2

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A. 6 days B. 10 days C. 15 days D. 20 days

B
Work done by X in 4 days = ($\frac{1}{20} \times 4$) = $\frac{1}{5}$
Remaining work = ( 1 - $\frac{1}{20}$) = $\frac{4}{5}$
(X + Y)'s 1 day's work = ($\frac{1}{20}$ + $\frac{1}{12}$) = $\frac{8}{60}$ = $\frac{2}{15}$
Now, $\frac{2}{15}$ work is done by X and Y in 1 day.
So, $\frac{4}{5}$ work will be done by X and Y in ($\frac{15}{2}$$\frac{4}{5}$) = 6 days
Hence, total time taken = (6 + 4) days = 10 days.

### Q3

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
A. 11 days B. 13 days C. 25 days D. 18 days

B
Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
Then, 10 : 13 :: 23 : x $\Rightarrow x = \frac{23 \times 13}{10} \Rightarrow x = \frac{299}{10}$
A's 1 day's work = $\frac{1}{23}$;
B's 1 day's work = $\frac{10}{299}$;
(A + B)'s 1 day's work = ($\frac{1}{23}$ + $\frac{10}{299}$) = $\frac{23}{299}$ = $\frac{1}{13}$
Therefore, A and B together can complete the work in 13 days.

### Q4

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
A. 15 B. 16 C. 18 D. 25

B
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.
Suppose Tanya takes x days to do the work.
5 : 4 :: 20 : x $\Rightarrow \frac{4 \times 20}{5}$
x = 16 days.
$\Rightarrow$ Hence, Tanya takes 16 days to complete the work.

### Q5

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
A. 1/24 days B. 7/24 days C. 337 days D. 4 days

B
If A can do a piece of work in n days, then A's 1 day's work = $\frac{1}{n}$
(A + B + C)'s 1 day's work = ($\frac{1}{24} + \frac{1}{6} + \frac{1}{12}$) = $\frac{7}{24}$ days