# Time and Work Quiz 9

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# Time and Work Quiz 9

### Introduction

Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work Quiz 9 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 9 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 type 100 letters in 5 minutes. B and C typing together can type 50 letters in 2 minutes. If all of them working together then can type 90 letters in how many minutes?
A. 2 minutes B. 4 minutes C. 5 minutes D. 10 minutes

A
($\frac {1}{5} + \frac {1}{4}$) = $\frac {20}{9} + \frac {90}{100} = 2$

### Q2

Efficiency of A is 25% more then B and B takes 25 days to complete a piece of work. A started a work alone and then B joined her 5 days before actual completion of the work. For how many days A worked alone?
A. 9 B. 10 C. 11 D. 25

C
Efficiency (A : B) = 5 : 4
Number of days(A : B) = 4x : 5x = 4x : 25
∴ Number of days required by A to finish the work alone = 4x
= 4 x 5 = 20.
A and B work together for last 5 days = 5 x 9 = 45 %
Efficiency of A = 5% and B’s efficiency = 4 %
∴ No. of days taken by A to complete 55% work = $\frac {55}{5}$ = 11 days

### Q3

(x-2) person can do a work in x days and (x+7) person can do 75% of the same work in (x-10)days. Then in how many days can (x+10) person finish the work?
A. 27 days B. 12 days C. 25 days D. 18 days

B
$\frac {3}{4}$ × (x-2)x = (x+7)(x-10)
x – 6x – 280 = 0
x = 20; x = -14
(x-2)x = 18 × 20 = 360
360 = 30 × y
y = 12 days

### Q4

A and B undertake to complete a piece of work for Rupees 1200. A can do it in 8 days, B can do it in 12 days and with the help of C they complete the work in 4 days. Find the share of C?
A. 100 B. 200 C. 300 D. 400

B
$\frac {1}{8} + \frac {1}{12} \frac {1}{C} + \frac {1}{4}$ we get C = 24 days
Now efficiency of A, B and C are in the ratio of $\frac {1}{8} : \frac {1}{12} : \frac {1}{24}$
3 : 2 : 1 so share of C is $\frac {1}{6} \times 1200 = 200$

### Q5

P can do a piece of work in 20 days. Q is 25 percent more efficient than P. In how many days half the work is completed when both are working simultaneously?
A. $\frac {41}{9}$ B. $\frac {40}{9}$ C. $\frac {39}{9}$ D. $\frac {43}{9}$

B
Q is 25 percent more efficient so he will complete the work in 16 days
$\frac {1}{20} + \frac {1}{16} \times t = \frac {1}{2}$
$\frac {4 + 5}{80} \times t = \frac {1}{2}$
$t = \frac {1}{2} \times \frac {80}{9} = \frac {40}{9}$

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