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Math MCQ Question and answer - Time and Work Problems
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1. A certain number of men could complete work in 40 days. If there were 20 men more the work could be completed in 20 days. The original number of men is
85
30
40
20
2. A and B can do a piece of work in 10 days. B and C in 15 days C and A in 30 days. In how many days can they do it all working together?
8 days
6 days
11 days
10 days
3. A is thrice as good workman as B and together they finish a piece of work in 24 days. In how many days can A alone finish the work
20 days
25 days
32 days
29 days
4. A works thrice as fast as B. If B can complete a work in 18 days. Then number of days taken by A and B working together to complete this work is
8 days
9 days
5 days
4.5 days
5. A can finish a work in 24 days B can finish the same work in 36 days. If they work together and finish it then out of total wages of Rs. 500 A will get
Rs. 220
Rs. 200
Rs. 300
Rs. 360
6. 16 men can finish two fifth of the work in 4 days. The number of additional men required to finish the remaining work in 2 more days will be
24 men
0 men
30 men
39 men
7. Pipe A can fill a tank in 10 hours and pipe B can empty it in 15 hours. In how many hours will the tank be filled if both the pipes are opened?
6
10
20
30
8. A tank which has a leak in the bottom is filled in 20 hours. Had there been no leak the tank would have been filled in 15 hours. The leak can empty the full tank in
80 hrs
5 hrs
60 hrs
2 hrs
9. A tank that can be filled by an inlet pipe A in 12 hours is filled in 18 hours while out let pipe B is opened. The outlet pipe B can empty the full tank in
25 hrs
36 hrs
76 hrs
50 hrs
10. Two pipes can fill an empty tank in 10 and 15 hrs respectively. If waste pipe C is opened both A and B together can fill the tank in 5 hours. The waste pipe can empty the full tank in
30 hrs
50 hrs
60 hrs
40 hrs
11. Working 8 hours a day a work is done in 10 days. For how many hours a day must the work be done in order to complete it in 8 days.
12 hours
10 hours
9 hours
9
12. A and B together can fill a ditch in 30 days while A alone can fill it in 50 days. If B does the work for only half a day daily how long will it take to fill the ditch by A and B?
25 days
67/2 days
75/2 days
32 days
13. A can type 60 pages in 15 hours. A and B can type 150 pages in 25 hours. How long will it take B alone to type 120 pages?
40 hours
45 hours
55 hours
60 hours
14. 12 women or 16 girls can do a certain job in 20 days. 14 women and 8 girls can do the same job in how many days?
15
7
12
9
15. A can do a piece of work in 16 days while B can do it in 12 days. With the help of C they can finish it in 6 days. In how many days can C alone do the work?
48 days
10 days
20 days
30 days
16. A can do a work in 40 days and B can do it is 25 days. A worked at it for 8 days. In how many days B can finish the remaining work.
8 days
20 days
16 days
12 days
17. A can finish a work in 20 days B can do the same work in 10 days. After A has worked for 5 days B joins A in how many days the remaining work will be finished.
15 days
8 days
5 days
7 days
18. A can finish a work in 7 days B in 14 days and C in 28 days. B and C start working and are forced to leave the work after 2 days. The number of days taken by A to finish the remaining work is
8.5 days
10 days
5.5 days
15.5 days
19. A can do a piece of work in 28 days. If B is 40% more efficient than A B can do the same piece of work in
20 days
25 days
27.5 days
30 days
20. A is twice as good a workman as B and takes 6 less days to complete a piece of work as B does. To finish the work alone B will take
12
10
13
6
21. A can complete a piece of work in 16 days and B can complete it in 20 days. They start working together. Two days before the completion of the work A leaves. Work is completed in
10 days
8 days
6.4 days
11 days
22. A can do a piece of work in 10 days and B in 15 days. If they work for a day alternately A beginning the work will be completed in
6 days
12 days
8 days
15 days
23. A and B can complete a task in 44 days when working together. After having worked together for 33 days B is called away. A completes the remaining task in the next 25 days. A can complete the job working alone in
140 days
90 days
100 days
84 days
24. Three pipes A B and C can fill a tank in 20 hours. After working at it together for 5 hours C is closed and A and B fill it in 30 hrs. C alone can fill it in
35 hrs
40 hrs
30 hrs
28 hrs
25. A tank has a leak which would empty it in 10 hrs. A tap is turned on and it admits 9 liters per minute into the tank and tank is now emptied in 25 hrs. How many liters tank holds?
9000
13400
14500
10000
26. A tank can be filled by tap A in 16 hrs and by tap B in 20 hrs. Both the taps are kept opened for 8 hrs and then A is closed. In how many more hours will the tank be completely filled?
2 hrs
12 2?3
10 hrs
0.5 hrs
27. Two pipes A and B can fill a tank in 14 and 21 hrs respectively. If both pipes are opened together then after how many hours A should be closed so that tank is full in 7 hours.
28/5 hrs
6.5 hrs
5 hrs
4 hrs
28. 20 men can do a certain work in 60 days but after every five days five additional men join them. In how many days will work be done now?
30.5 days
31 days
33.5 days
34.5 days
29. 20 men or 30 boys can do a certain job in 20 days. How long will it take 6 men and 15 boys to do the same job?
25 days
10 days
8 days
6 days
30. M and N working separately can complete a job in 6 and 12 hours respectively. If they work for an hour alternately M starting at 10:00 AM when will the job be done?
2:00 PM
8:00 PM
7:00 PM
6:00 PM
31. 30 men can do a certain work in 15 days. They started working on the project but 5 of them leave after every five days. In how many days will the work be completed now?
20 days
22 days
25 days
18 days
32. If 4 times x is equal to x increased by 2 then x=
3?2
2?3
3
2
33. Jawads weekly salary is $70 less then Pashas which is $50 more than Marias. If Maria earns $280 per week how much does Jawad earn per week?
$160
$260
$280
$300
34. Nosheen painted 1/3 of her room with 5/2 cans of paint. How many more cans of paint will she need to finish painting her room?
5?2
3
5
10
35. During a certain week a post office sold $280 worth of 14 cents stamps. How many of these stamps did they sell?
20
200
2000
20000
36. The average of 5 numbers is 13. If the average of 4 of these numbers is 10 what is the fifth number?
10
25
35
40
37. On a map a distance of 100 cm represents 5km. If a street is 750 m long what is its length in the map in cm?
10
15
20
35
38. If the sum of x y and z is twice the sum of x minus y and x minus z then x=?
y+z
3y+3z
3y-2
2y+3z
39. Sana has 100 dollars more than Reeha. After Sana spends 20 dollars on groceries she has 5 times as much money as Reeha has. How much money does Reeha has?
$10
$15
$20
$30
40. In a class there are 27 students. If there are 7 more girls than boys in the class how many students are girls?
15
17
20
23
41. Madiha is n years old. Samee is 6 years younger than Madiha and 2 years older than Javid. What is the sum of the ages of all the three?
3n+14
3n
14
3n-14
42. If a man earns $ 200 for for his first 40 hours of work and is paid 3/2 times his regular hourly rate for every additional hour. How many hours must he work to make $300 in a week?
40
44
53.33
54
43. In a Math test there were 60 problems which were to be done in 1 hour. A student completes 30 problems in 20 minutes how many seconds does he have as average for completing each of the remaining problems.
50
60
80
90
44. Lilly took 5q pensils from a shop. If she gave q pencils to each of her 2 brothers. How many pencils will she have now?
2q
3q
4q
q
45. The product of 3 and n is equal to 2 less than m. Which of the following is true?
6n-m-2=0
6n-6=0
3n-m-2=0
3n-m-2=0
46. For a certain job Ahmed charges $ 12 an hour while Sana charges $6 an hour. If both worked the same amount of time together on a job how many hours did each of them work if their combined charges were $144?
6
7
8
10
47. If three times x is equal to x decreased by y and y is three less than x then value of x is:
-2
-1
?2/3
1
48. A painter charges Rs. 120 per hour and his son charges half of his charges. One day the son worked 2 hours more than father and thus they collectively earned Rs. 480. The time consumed by the son is:
2
3
4
5
49. The product of 3 and x is equal to the difference of 2x and y decreased by 2. Which of the following is true under the above conditions?
x+y-2=0
3x-y-2=0
3x+y-2=0
2x+2y-4=0
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