Time and Work Practice Test

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Useful Formulae of Time and Work :

1. If P1 persons working H1 a day can complete W1 units of work in D1 days, and P2 persons working for H2 a day can complete W2 units of work in D2 days then

(P1.H1.D1) / W1 = (P2. H2. D2) / W2

2.  If the amount of work is not mentioned in either of the two cases then it should be treated as same in both the cases then 

P1. D1. H1 = P2. D2. H2

3. Even if the working hours not mentioned in both the cases then H1 & H2 can be dropped

=> P1. D1 = P2. D2

4. A can do a work in X days. If B is K times as efficient as A then B can do the work in X/K days. Both A and B together can do the work in ((X / (K + 1)) days

Now lets work with some practice problems. Try to solve these on your own and check with the given answers. You will get detailed solutions with explanations soon.  

Time and Work Practice Problems

1. Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days ?
1. 8 hours
2. 7 (1/2) hours
3. 10 hours
4. 8 (1/2) hours
5. None of these
2. 7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days ?
1. 28
2. 21
3. 14
4. 7
5. None of these
3. 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men ?
1. 18
2. 20
3. 25
4. 30
5. None of these
4. 25 men can do a piece of work in 24 days. How many men would be required to do the same work in 10 days ?
   
1. 56
2. 60
3. 64
4. 66
5. 72
5. A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6 men leave after working for 6 days ?
1. 3
2. 6
3. 12
4. 24
5. None of these
6. A builder decided to build a house in 50 days. He employed 150 men at the beginning and another 80 men after 20 days and completed the work in stipulated time. If he had not employed the additional men, how many days behind scheduled would it have been finished ?
1. 10 days
2. 12 days
3. 15 days
4. 16 days
5. 18 days
7. Two men alone or three women alone can complete a piece of work in 4 days. In how many days can 1 woman and one man together complete the same piece of work ?
1. 6 days
2. 24/5 days
3. 12/1.75 days
4. Cannot be determined 
5. None of these
8.  If one man or three women or five boys can do a piece of work in 46 days then how  many days will one man, one woman and one boy together take to complete the same piece of work ?
1. 30 days
2. 32 days
3. 35 days
4. 40 days
5. None of these
9. 8 men can complete a piece of work in 20 days. 8 women can complete the same piece of work in 32 days. In how many days will 5 men and 8 women together complete the same work ?
1.  16 days
2. 12 days
3. 14 days
4. 10 days
5. None of these
10. 2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, whereas 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many total men would be required ?
1. 4
2. 8
3. 6
4. Cannot be determined
5. None of these
11. X can do a piece of work in 24 days. If Y works twice as fast as X, how long would they take to finish the work working together ?
1. 8 days
2. 12 days
3. 16 days
4. 48 days
5. 36 days
12. Yesterday Vani completed 300 unites of work at the rate of 15 units per minute. Today she completed the same units of work but her speed was 40% faster than yesterday. What is the approximate difference in the time she took to complete the work yesterday and the time she took today ?
1. 16 minutes
2. 26 minutes
3. 46 minutes
4. 36 minutes
5. 6 minutes 

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