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How to Solve Time and Work Questions for the Upcoming Bank PO and SSC Exams

Posted on - 07-05-2017

QA Math Time And Work

Bank PO

Time and work is one of the important category in Quantitative Aptitude section of the Bank Exam. Here are few tips to solve Time and Work questions in LIC AAO & Bank Exam.

Time_Work_Banking

Mantra to Crack Time and Work Questions

1. Work from Days:.

If A can do a piece of work in n days, then A’s n day’s 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.

2. Relationship between Men and Work.

More men ——- can do ——-> More work

Less men ——- can do ——-> Less work

3. Relationship between Work and Time.

More work ——– takes——> More Time

Less work ——– takes——> Less Time

4. Relationship between Men and Time.

More men ——- can do in ——-> Less Time

Less men ——- can do in ——-> More Time

5. If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days, then.

6. 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.

7. 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.

8. 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.

Sample Questions –

1. Shambhu is twice as good as workman as Bablu and together they finish a piece of work in 18 days. Find the total number of days in which Bablu can finish the work.

a) 27 days

b) 54 days

c) 56 days

d) 68 days

Option B

Explanation: As per question, Shambhu does twice the work as done by Bablu. So A:B = 2:1. Also (Shambhu+Bablu) one day work is 1/18.

To get days in which Bablu will finish the work, lets calculate work done by Bablu in 1 day =(118 ∗13 )=154. So Bablu 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) 15 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

which is =15 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)

Solution:

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)

Solution:

Let Mr. Chawla under takes 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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