#time and work problem

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Time and Work Problem – Only 3 sec – Math Problem Tricks (Trick no. 26)

Trick/Theorem: If ‘A‘ men can do a certain work in ‘X‘ days, ‘B‘ women can do the same work in ‘Y‘ days and ‘C‘ boys can do the same work in ‘Z‘ days.

Then ‘A1‘ men, ‘B1‘ women and ‘C1‘ boys together can complete the same work in 

Now, Apply This Time and Work Problem Short Tricks on Time and Work Questions. So, Let’s solve a Question…

Q-1) 6 men can complete a piece of work in 12 days, 8 women can complete the same piece of work in 18 days and 18 children can do it in 10 days. In how many days 4 men, 12 women and 20 children together can complete the same piece of work ? a. 2 days b. 4 days c. 9 days d. 12 days

Soln:- 6 (A) men can complete a piece of work in 12 (X) days, 8 (B) women can complete the same piece of work in 18 (Y) daysand 18 (C) children can do it in 10 (Z) days.

Then, 4 (A1) men, 12 (B1) women and 20 (C1) children together can complete the same piece of work in –

Now apply Time and Work Problem Tricks

Now put, A=6, X=12, B=8, Y=18, C=18, Z=10, A1=4, B1=12, and C1=20

[4 men, 12 women and 20 children together can complete the same piece of work in 4 days.]

For Better Learn This Time and Work Problem Tricks

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Time and Work Problem Tricks – Only 2 sec – Math Problem Tricks (Trick no. 23)

Trick/Theorem:- ‘A‘ and ‘B‘ can do a piece of work in ‘X‘ and ‘Y‘ days respectively and both of them starts the work together. If ‘B‘ leaves the work ‘Y1‘ days before the completion of work,

Then the total time, Which the whole work is completed in 

Now, Apply This Time and Work Problem Tricks on Time and Work Questions. So, Let’s solve a Question…

Q-1. A and B can do a piece of work in 30 days and 45 days respectively. Both starts the work together for some time, but B leaves the job 15 days before the work is completed. Find the time in which work is finished. a. 12 days b. 15 days c. 18 days d. 24 days

Solution:- A and B can do a piece of work in 30 (X) days and 45 (Y) days respectively.

B leaves the job 15 (Y1) days before the work is completed.

Now apply Time and Work Problem Tricks Now put, X=30, Y=45 & Y1=15

The total work was finished by 24 days

For Better Learn This Time and Work Problems Tricks 

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Time and Work Problems Shortcuts – Quantitative Aptitude Shortcuts (Trick no. 20)

Trick/Theorem:- If ‘X‘ persons can complete a piece of work in ‘D‘ days. By resigning ‘Y‘ persons the work was completed in ‘D1‘ days.

Then, 

Let’s Solve a Time and Work Question…

Q-1) A group of men decided to do a work in 12 days, but 8 of them became absent. If the rest of the group did the work in 20 days. Find the original number of men.

a) 18 men b) 20 men c) 22 men d) 24 men

Solution:- A group of men (X) decided to do a work in 12 (D) days,

But 8 (Y) of them became absent. Rest of the work done in 20 (D1) days.

Now Apply Time and Work Problems Shortcuts

Now put, D=12, Y=8 and D1=20

So, the original number of men is 20.

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Time and Work Problems Tricks – Math Problems Tricks – (Trick no. 16)

Tricks/Theorem:- If ‘A‘ and ‘B‘ complete a work in ‘X‘ days and ‘Y‘ days respectively. If both start working together and ‘A‘ left the work after ‘N‘ days. ‘B‘ finish the remaining work.

Then, Total time taken 

or,

Then, ‘B‘ finish the remaining work 

Let’s solve some Questions….

Q-1) A can do a work in 25 days and B can do the same work in 20 days. They work together for 5 days and then A left. In how many days will total work will be finish ? a) 15 days b) 16 days c) 17 days d) 18 days

Solution:- A can do a work in 25 (X) days,

B can do the same work in 20 (Y) days.

They work together for 5 (N) days.

In how many days will total work will be finish ?

Now apply Time and Work Problems Tricks:-

So now Put, X=25, Y=20 and N=5 Total time will be finish in 

Then, Total work will be finished in 16 days.

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Time and Work Problems Short Tricks – Speed Maths Tricks (Tricks no. 15)

Trick/Theorem:- If ‘A‘ and ‘B‘ can do a piece of work in ‘X‘ days and ‘Y‘ days respectively. They start the work together, ‘B‘ left after some days and ‘A‘ finish the remaining work in ‘Z‘ days.’

‘B‘ left after, 

Let’s Solve a Questions....

Q-1) A and B can do a work in 40 and 35 days respectively. They began the work together, but B left after some time and A finished the remaining work in 10 days. After how many days did B leave ? a) 13(1/3) days b) 13 days c) 13(2/3) days d) 14 days

Solution: A and B can do a work in 40 (X) and 35 (Y) days respectively.

A finished the remaining work in 10 (Z) days.

Now Apply Time and Work Problems Short Tricks:- So now Put, X=40, Y=35 and Z=10

B left after,

So, B left after 14 days.

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