We are providing you Short Notes on Time & Work Questions which are commonly asked in AFCAT Exam. These notes contain useful formulae which help in easy solving of questions.
Work from Days:
- If A can do a piece of work in n days, then A’s n days work is=1/n
- No. of days = total work / work done in 1 day
- Days from Work: If A’s 1 day’s work =1/n then A can finish the work in n days.
Relationship between Men and Work.
- More men ------- can do -------> More work
- Less men ------- can do -------> Less work
Relationship between Work and Time
- More work -------- takes------> More Time
- Less work -------- takes------> Less Time
Relationship between Men and Time
- More men ------- can do in -------> Less Time
- Less men ------- can do in -------> More Time
If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days, then
If M1 persons can do W1 work in D1 days for h1 hours and M2 persons can do W2 work in D2 days for h2 hours, then
If A can do a work in ‘x’ days and B can do the same work in ‘y’ days, then the number of days required to complete the work if A and B work together is
If A can do a work in ‘x’ days and A + B can do the same work in ‘y’ days, then the number of days required to complete the work if B works alone is
Practice Questions -
1. Ali is twice as good as workman as Aslam and together they finish a piece of work in 18 days. Find the total number of days in which Aslam can finish the work.
a) 27 days
b) 54 days
c) 56 days
d) 68 days
Answer: Option B
Explanation:- As per question, Ali does twice the work as done by Aslam. So A:B = 2:1. Also (ALI+Aslam) one day work is 1/18
To get days in which Aslam will finish the work, lets calculate work done by Aslam in 1 day =(118 ∗13 )=154. So Aslam will complete the work in 54 days
2. Ritu can complete a piece of work in 5 days, but with the help of her son she can do it in 3 days. Find the time taken by the son alone to complete the work.
a) 7.5 days
b) 13 days
c) 11 days
d) 9 days
Answer: Option A
Explanation:- In this type of question, where we have one person work and together work done. Then we can easily get the other person work just by subtracting them. As,
Son's one day work = (1/3 −1/5 )=(5−3/15 )=2/15
So son will do whole work in 2/15 days = 7.5 days
which is =7.5 days
3. Two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third pipe can empty it in 20 hr. Simultaneously, if all the pipes are opened then the cistern will be filled in
a) 7.5 hr
b) 8 hr
c) 5 hr
d) 10 hr
Answer – (A)
Explanation:- Work done by all the tanks working together in 1 hour.
⇒ 1/10+1/12-1/20=2/15. Hence, tank will be filled in 15/2= 7.5 hour.
4. Mr. Chawla is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Chawla's tour programme is
a) 28 Days
b) 24 Days
c) 22 Days
d) 20 Days
Answer – (D)
Explanation:- Let Mr. Chawla undertakes a tour of x days.
Then, expenses for each day =360/x
360/(x+4)=(360/x)–3
x=20 and −24
Hence, x= 20 days.
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