Time and Work Examples 2

Shortcut Tricks are very important things in competitive exam. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Here in this page we give few examples on Time and Work shortcut tricks. We try to provide all types of shortcut tricks on time and work here. Visitors are requested to carefully read all shortcut examples. These examples here will help you to better understand shortcut tricks on time and work.

First of all do a practice set on math of any exam. Write down twenty math problems related to this topic on a page. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After finish write down total time taken by you to solve those ten maths. Now read our examples on time and work shortcut tricks and practice few questions. After finishing this do remaining questions using Time and Work shortcut tricks. Again keep track of timing. This time you will surely see improvement in your timing. But this is not all you need. You need more practice to improve your timing more.

We all know that the most important thing in competitive exams is Mathematics. It doesn’t mean that other topics are not so important. But only math portion can leads you to a good score. You can get good score only by practicing more and more. The only thing you need to do is to do your math problems correctly and within time, and you can do this only by using shortcut tricks. Again it does not mean that you can’t do maths without using shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many people can’t do this. For those we prepared this time and work shortcut tricks. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

Time and Work Examples 2
Some important facts are needed for Time and work Problems . Here is some examples of this chapter related are given . Such that a person do a piece of work which has to be require more time to complete why because capacity is limited to that person but two or more person do the same piece of work which require less time and effort .

Another type is  two person work a piece of work in same time and third one join this work  and find out  all persons together work to complete , So here is some example 2 of Time and work and Time and work shortcut tricks related which help you better study for job preparation.

This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam . Under below given some more example for your better practice.

 

 

Example 1: P, Q and R can complete a piece of work in 8, 12 and 24 days respectively. They will complete the same work in.
Answer : P, Q, and R complete the work in 1 day = 1 / 8, 1 / 12, 1 / 24
1 / 8 + 1 / 12 + 1 / 24 = 144 / 36 = 4 days

 

 

Example 2: 4 boy and 6 girl can complete a piece of work in 8 days while 3 boy and 7 girl can complete the same piece of work in 10 days. Find required days will 10 girl complete that work.
Answer : Let 1 boy’s 1 day’s work = x.
Let 1 girl’s 1 day’s work = y.
Then, 4x + 6y = 1 / 8
3x + 7y = 1 / 10
by solving of two equations,
we get y = 1 / 400 and x = 11 / 400
So, 1 girl’s 1 day’s work = 1 / 400.
Then 10 girl’s 1 day’s work = (1 x 10 / 400) = 1 / 40.
So 10 girl will complete the work in 40 days.

 

 


Examples 3:

John painted a wall in 6 days of 12 hours each and pal can do it 8 days of 8 hours each. How lengthy will they take do it, working together 36 / 17 hours a day ?
Answer :
Step 1: At first we find total work of both per day 12 hours than 6 day he total work ( 6 x 12 ) = 72 hours.
and pal total work is ( 8 x 8 ) = 64 hours.
Step 2: both 1 hour’s work is 1 / 72, 1 / 64. So Both together work in 1 hour’s is ( 1 / 72 + 1 / 64 ) = 17 / 576 hour’s.
Both finish the work 576 / 17 hour’s.
Step 3: number of days of 36 / 17 each = ( 576 / 17 X 17 / 36 ) = 16 days.
So, Both together work in 16 days.

 

 


Example 4:

Ram and Sam can do a work together to finish in 30 days.They work together in 20 days and then sam left. After another 20 days,A finish the remaining work. In how many days Ram can alone finish the work ?
Answer :
Step 1: Ram and Sam can work together in 20 days ( 1 x 20 / 30 ) = 2 / 3 days. Remaining work( 1 – 2 / 3 ) = 1 /3.
Step 2: Now 1 / 3 work is done by Ram in 20 days.
So Whole work done by Ram ( 20 x 3 ) = 60 days.

 

 


Example 5:

30 children can complete a piece of work in 50 days. find how many days 15 children can complete the same piece work ?
Answer:
we use ( children x working days ) = ( children x working days )
30 x 50 = 15 x ?
1500 = 15 x ?
?  = 100 days.

 

 

Example 6:
P and Q can do a work in 45 and 40 days respectively. They began the work together, but P left after some time and Q finished the remaining work in 23 days. After how many days did P  leave ?
Answer :
Q works alone for 23 days.
So, Work done by P in 23 days = 23 / 40 work.
So, P + Q do together ( 1 – 23 / 40 ) = 17 / 40.
Then , P + Q do this work in 1 day ( 40 x  45 / 40 + 45 ) = 40 x 45 / 85 days.
So, P + Q together do the work in ( 40 x 45 / 85 ) x 17 / 40 = 9 days.

Shortcut tricks :
we can ignore middle steps then perform direct formula : 40 x 45 / 40+ 45 ( 40 – 23 / 40 ) = 9 days.

 

 

Example 7:
30 labor can complete a piece of work in 32 days. In how many days 15 labor can complete same work ?
Answer :
d2 = ?
d2 = 32 x 30 / 15 = 64
15 labor can complete same work in 64 days.

 

 

Example 8: 12  men  can complete a construction work in 28 hours. In how many hours would be 24 men complete that construction work.
Answer: 12  men  can complete a construction work in 28 hours.
12 x 28 = 24 x ?
? = 14 hours

 

 

Example 9:
P and Q can complete a work in 10 days and 15 days respectively. They began doing the work together but after 2 days Q had to leave and P alone complete the remaining work. The whole work was completed in:

Answer:
(P + Q)’s 1 days work = ( 1 / 10 + 1 / 15 ) = 1 / 6.
Work done by P and Q in 2 days = ( 1 x 2 / 6) = 1 / 3.
So Remaining work is (1 – 1/ 3) = 2 / 3.
So, P work is done in 1 day is 1 / 15.
2/3 work will be done by P in (15 x 2 / 3) = 10 days.
Hence total work time taken is (10 + 2) = 12 days

 

 

 

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15 comments

  1. M.S. Ansari says:

    A and B together can do a piece of work in 5 hours,A and C together can do the same piece of in 4 hours,, B and C together can do the same work in 7/2 hours. How many hours A can alone do the same work ?

    • Dhruvansh Panwar says:

      A+B= 1/5,B+C=2/7,C+A=1/4
      2(A+B+C)=1/5+2/7+1/4
      =28+40+35 /140
      =103/140
      A+B+C= 103/280
      A alone can do same work = A+B+C – B+C
      = 103/280 – 2/7
      =103 – 80 / 280
      =23/280 days and in hours 280/23 can A alone do the same work…….

  2. Randhir says:

    A and B both complete works in 16 days and B and C complete works in 24 days….if A is working 3 more time(3 guna) than C. Than how many days will take A,B and C for this work?? Plz reply a shortrick for this question

  3. Deepa says:

    4 men and 6 women can complete a work in 8days, while 3 men and 7 women can complete it in 10 days.in how many days will 10 women complete it.

    • Admin says:

      take look this example Let 1 boy’s 1 day’s work = x.
      Let 1 girl’s 1 day’s work = y.

      Then, 4x + 6y = 1 / 8
      3x + 7y = 1 / 10
      by solving of two equations,
      we get y = 1 / 400 and x = 11 / 400
      So, 1 girl’s 1 day’s work = 1 / 400.
      Then 10 girl’s 1 day’s work = (1 x 10 / 400) = 1 / 40.
      So 10 girl will complete the work in 40 days.

  4. HARI says:

    A can do tapiece of work in 4 hours,B&C can do the same work in 3 hours.A&C can do the same work in 2 hours.how long can B alone take to do the same work?

  5. PIYOOSH KUMAR says:

    P & Q CAN DO A WORK IN 45 AND 40 DAYS RESPECTIVELY,THEY BEGAN THE WORK TOGETHER, BUT P LEFT AFTER SOME TIME & Q FINISHED THE REMAINING WORK IN 23 DAYS .AFTER HOW MANY DAYS DIS P LEAVE ??
    PLZ EXPLAIN.

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