Introduction
Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work – Quiz 7 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 7 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
Rajan can do a piece of work in 10 days, Rakesh can do in 12 days and Mukesh do the same work in 15 days. In how many days they can finish the work, working together
- A. 3 days
B. 5 days
C. 4 days
D. 2 days
[latex]\frac{1}{10} + \frac{1}{12} + \frac{1}{15} = \frac {6 + 5 + 1}{60} = \frac {1}{4}[/latex] = 4 Days
Q2
Rambabu, Santosh and Sunil can finish a piece of work in 10, 12 and 15 days respectively. If Santosh stops doing the work after 2 days, Rambabu and Sunil will finish the work in
- A. 2 days
B. 3 days
C. 4 days
D. 5 days
2([latex]\frac{{R}_{b}}{\frac{{S}_{A}}{{S}_{L}}}[/latex]) = 2 ([latex]\frac{{1}{10}}{\frac{\frac{1}{12}}{\frac{1}{15}}}[/latex])
Balance work to be done by [latex]{R}_{b}[/latex])and SL[latex]{S}_{L}[/latex])
= 1 - [latex]\frac {1}{2}[/latex] = [latex]\frac {1}{2}[/latex]
(Rb + SL)’s 1 day work
[latex]\frac {1}{10} + \frac {1}{15} = \frac {3 + 2}{30} = \frac {1}{6}[/latex]
i.e, (Rb + SL) will take 3 days to do [latex]\frac {1}{2}[/latex] of the work
Q3
12 men complete a work in 18 days. 6 days after they had started working, 4 men joined them. How many days will all of them take to complete the remaining work ?
- A. 8 days
B. 12 days
C. 13 days
D. 9 days
12 men’s 6 days work = [latex]\frac{6}{18}[/latex][latex] \frac{1}{3}[/latex]
i.e, [latex] \frac{1}{\frac{2}{3}}[/latex] = [latex]\frac{12 * 18}{16 * ?}[/latex]
? = 9 days
Q4
72 men can build a wall 280 m long in 42 days. The number of persons who would take 36 days to build a similar will 100 m in length will be
- A. 15
B. 30
C. 25
D. 20
[latex]\frac{280}{100}[/latex] = [latex]\frac{72 * 42}{? * 36}[/latex]
? = 30 men.
Q5
A, B and C can do a piece of work in 12, 15 and 20 days respectively. How long will they take to finish the work together?
- A. 10 days
B. 5 days
C. 8 days
D. 12 days
Let time taken by A, B, C combined is D days.
i.e, ([latex]\frac{1}{12}[/latex] ÷ [latex]\frac{1}{15}[/latex] ÷ [latex]\frac{1}{20}[/latex])D = 1
([latex]\frac{1}{5}[/latex]) * D = 1
D = 5 days