Time and Work Short Tricks Solved Problems for Competitive Exams

Time and Work is an important topic in the Quantitative Aptitude section for Bank and SSC Exam. In this topic, 2 to 3 questions are asked every year in competition exam. You should learn the shortcut tricks for saving time in the competitive exams.

Here is a detailed introduction of Time and Work along with short tricks which will help the candidates to prepare the topic well. For more practice, you can visit on Time and work problems with solutions.

Here you can get all the topics of Time and Work Aptitude by click here.

What is Time and work?

Performing or doing any work involves efforts of person over a period of time. Therefore, the number of person (P), the quantity of work (W) and the period of time taken (T) are important variables in problem-related to time and work.

Time and Work Short Tricks Solved Problems

Example 1: Chandni and Divakar can do a piece of work in 9 days and 12 days, respectively. If they work for a day alternatively, Chandni beginning in how many days, the work will be completed?

(A)

(B)

(C) 11.11

(D) 10

Solution 

. Chandni’s 1 days’s work = 1/9.

Divakar’s 1 day’s work = 1/12.

Chandni and Divakar’s (1+1) = 2.

Day’s work = (1/9)+(1/12) = 7/36

So, in 10 days they do = (7×5)/36 = 35/36.

So, the remaining 1/36 {= 1-35/36}

Work will be done by Chandni

= (1/36)/(1/9) = 1/4.

Thus, total number of required days

= 10+(1/4) =  days

Short Tricks 

Efficiency of Chandni = 11.11%

Efficiency of Divakar = 8.33%

They do 19.44% work in 2 days.

⸫  They need 10 days to do 97.22% work.

Now, the rest work (2.78) was done by Chandni in 2.78/11.11 = 1/4 day

Therefore, total number of days

Required = 10+1/4 =

Example 2: Pipe A can fill an empty tank in 30 h while B can fill it in 45 h. Pipe A and B are opened and closed alternatively i.e., first pipe A is opened, then B, again A and then B and so on for 1 h each time without any time lapse. In how many hours the tank will be filled when it was empty, initially?

(A) 36

(B) 54

(C) 48

(D) 60

Solution 

In 1 h pipe A can fill = 1/30 part of the tank

In 1 h pipe B can fill = 1/45 part of the tank

In 2 h pipes A and B can fill = 1/18 part of the tank

Therefore, in 36 h the tank will be completely filled.

Short Tricks 

Efficiency of pipe A = 3.33%

Efficiency of pipe B = 2.22%

And combined efficiency = 5.55%

Therefore, in 2 h pipes A and B fill 5.55%. Thus, to fill 100% tank, these pipes will take 36 h.

Example 3: If 20 persons can do a piece of work in 7 days, then calculate the number of persons required to complete the work in 28 days.

(A) 5

(B) 10

(C) 15

(D) 25

Solution 

Number of persons × days = work.

20 × 7 = 140 man-days.

Now, X × 28 = 140 man-days.

→ X = 5

Therefore, in second case the required number of person is 5.

Short Tricks

Since, work in constant, therefore

M1×D1 = M2×D2 = Work done

20 × 7 = M2 × 28 → M2 = 5.

Example 4: A can do a piece of work in 14 days, while B can do it in 21 days. In how many days, working together they will complete the whole work?

(A) 10.5

(B) 8

(C) 8.4

(D) 9

Solution 

Efficiency of A = 7.14%

Efficiency of B = 4.76%

Efficiency of (A+B) = 11.9%

⸫ Number of days required by A and B, working together = 100/11.9 = 8.4 days

Hint you can see, that there is only one option between 8 and 9, which is 8.4.

For 8 days denominator should be 12.5 as for 9 days denominator should be almost 11.

Short Trick 

1 days work of A and B = 1/14 + 1/21 = 5/42

⸫ Required number of days = 42/5 = 8.4 days.

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