Welcome to freeonlinetest online exam portal, here you will get 2000+ Time and work With formulae. As you know Aptitude is one of the important topics for competitive exams like Banking, SSC CGL, SSC MTS, SSC Group D, Railway Group D, Police Constable Exams, etc.
Time and Work is also part of Quantitative Aptitude. Here you will get expected questions prepared by experts which could help in your exam in the aptitude section.
This topic is very much needed when you want to know how many person can complete the task within how many days or how long it will take to complete the given work or how much work one person can do etc. for this kind of question we will provide the short cut way to solve it.
1. If a person can do a piece of work in ‘X’ days, then person one day work is (1 / X)
2. If a person 1 day’s work is (1 / X) then the person will complete the work in ‘X’ days.
3. While solving the problems assume the work done by person to be equal to 1.
Online Test - 1 (Time and Work) TAKE TEST
Number of questions : 20 | Time : 30 minutes |
Online Test - 2 (Time and Work) TAKE TEST
Number of questions : 20 | Time : 30 minutes |
Online Test - 3 (Time and Work) TAKE TEST
Number of questions : 20 | Time : 30 minutes |
Online Test - 4 (Time and Work) TAKE TEST
Number of questions : 20 | Time : 30 minutes |
Question-1)
A alone can do a piece of work in 6 days, B alone can do the same work in 12 days. In how many days can A and B together completes the same work?
A) 5 days
B) 4 days
C) 3 days
D) 2 days
E) None of these
Ans: B
Solution:
A’s 1 day’s work = (1 / 6)
B’s 1 day’s work = (1 / 12)
(A + B)’s 1 day’s work = $(1 / 6) + (1 / 12) = (1 / 4)$
Therefore (A + B) will complete the work in 4 days.
Question-2)
3 men can do a piece of work in 18 days. 6 children can also do that work in 18 days. 4 men and 4 children together will finish the work in how many days?
A) 10
B) 6
C) 12
D) 9
E) None of these
Ans: D
Solution:
Using the below formulae $M1×D1×W2 = M2×D2×W1$
⇒ $3 × 18 × 1 = 6 × D2 ×1$
⇒ D2 = 9 days
Question-3)
Ravi gets Rs. 110 for every day that he works. If he earns Rs. 2750 in a month of 31 days, for how many days did he work?
A) 25 days
B) 28 days
C) 26 days
D) 24 days
E) None of these
Ans: A
Solution:
Required number of days = $2750 / 110$ = 25 days
Question-4)
A can do $1/3$ of a work in 5 days and B can do $2/5$ of the work in 10 days. In how long both A and B together can take the necessary steps?
A) $31/4$ days
B) $24/5$ days
C) $75/8$ days
D) 15 days
Solution:
Answer:C
$1/3$ work is done by A in 5 days.
Whole work will be done by A in 15 days.
$2/5$ work is done by B in 10 days.
Whole work will be done by B in $(10×5/2)$ day’s i.e 25 days
(A+B) ’s 1 days work = $(1/15+1/25)$ = $8/75$
∴A and B can do the work in $75/8$ days
Question-5)
A and B can do a bit of work in 45 days and 40 days. they started the work together however A leaves after a few days and B completed the remaining work in 23 days. After how long did A leaves?
A) $2/3$ days
B) 5 days
C) 9 days
D) 15 days
Answer : C
Solution:
Work done by B in 23 days = $(23 × 1/40) = 23/40$ ; remaining work = $(1- 23/40)= 17/40$
(A+B)’s 1 day work = $( 1/45 + 1/40)$ = ${8+9}/360$ = $17/360$
$17/360$ work is done by (A+B) in 1 day.
$17/40$ work is done by them in $(360/17 × 17/40)$ = 9 days