Last Updated: 2 February 2023
Time and Distance is a Very Important Chapter, especially for those sitting for Mathematics Aptitude, Bank Exams, and Economics.
The Time and Distance chapter is very important for students appearing for board exams from CBSE and ICSE backgrounds.
Solve the following Multiple Choice Questions and Boost your Scoring.
Time And Distance Multiple Choice Questions
1. Noah and James can finish a piece of work in 18 days; James and Harry can finish the same work in 24 days; Harry and Noah can finish the same work in 36 days. In how many days can they all do it all working together?
a) 25 Days
b) 24 Days
c) 16 Days
d) 18 Days
2. Andrew can finish a work in 12 days and Boga can do it in 15 days. After Andrew had worked for 3 days, Boga also joined Andrew to finish the remaining work. How many days will both take to finish the remaining work?
a) 5 Days
b) 10½ Days
c) 7½ Days
d) 11 Days
3. Abigail, Bobby, and Charlotte together can finish a piece of work in 4 days. Abigail can alone do it in 12 days and Bobby alone can do it in 18 Days. How many days will be taken by Charlotte to do it alone?
a) 6 Days
b) 9 Days
c) 12 Days
d) 18 Days
4. If a work can be completed by Ali in 30 days and by Bennett in 60 Days. How many days will be taken by both of them to finish the work?
a) 55 Days
b) 30 Days
c) 45 Days
d) 20 Days
5. Austin can do a job in 6 days while Austin and Bale together can do the same job in 2 days. How many days will be taken by Bale to do the job alone?
a) 2½ Days
b) 6 Days
c) 4 Days
d) 3 Days
6. Aakash can do a piece of work in 20 days and Badal can do it in 12 days. Badal worked at it for 9 days. In how many days Aakash alone can finish the remaining work?
a) 20 Days
b) 5 Days
c) 15 Days
d) 10 Days
7. Aron works twice as fast as Baine. If Baine can complete a piece of work independently in 12 days. What is the number of days taken by Aron and Baine together to finish the work?
a) 16 Days
b) 4 Days
c) 8 Days
d) 12 Days
8. Abel can do a piece of work in 80 days. He works at it for 10 days and then Benjamin alone finishes the work in 42 days. What is the number of days taken by the Both of them to finish the work?
a) 52 Days
b) 65 Days
c) 25 Days
d) 30 Days
9. Pipe A can fill a cistern in 4 hours while pipe B can empty it in 6 hours. If both of them are opened at the same time in an empty cistern. In how many hours will the tank be full?
a) 4 Hours
b) 6 Hours
c) 12 Hours
d) 14 Hours
10. A cistern can be filled by Pipe A and B in 4 hours and 6 hours respectively. When full, the cistern can be emptied by a pipe C in 8 hours. If all the pipes are turned on at the same time, How many hours will be taken by the cistern to be full?
a) 3 Hrs 18 Mins
b) 3 Hrs 26 Mins
c) 3 Hrs 42 Mins
d) 3 Hrs 48 Mins
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11. A Cistern having a leak at the bottom is filled in 15 hours. If there had been no leak it could have filled in 12 hours. If the Cistern is full, what time will take for the leak to empty it?
a) 60 Hours
b) 60 Mins
c) 120 Hours
d) 175 Hours
12. Pipe A can fill a tank in 45 hours and pipe B can empty it in 36 hours. If both Pipe A and Pipe B are opened in the empty tank. What will be the time required to make the tank full?
a) 36 Hours
b) 20 Hours
c) 30 Hours
d) 45 Hours
13. If A can do a piece of work in “n” days. What is the work done by A in 1 day?
a) 1/n2
b) 1/n
c) 1n
d) n
14. If the rate of working of A and B is a : b, What is the ratio of times taken by them to finish?
a) a2 : b2
b) a: b
c) b : a
d) ab : ba
15. Ram can do a piece of work in 20 days, while Shyam can do it in 30 Days. If both of them work at it together, How many days will it take for them to finish the work?
a) 22 Days
b) 25 Days
c) 20 Days
d) 12 Days
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16. Albert and Bipul together can do a piece of work in 12 days, while Bipul alone can finish it in 30 days. How many days can Albert alone finish the Work?
a) 10 Days
b) 20 Days
c) 30 Days
d) 15 Days
17. Ayush and Riya can do a piece of work in 12 days, Riya and Chameli in 15 days; Chameli and Ayush in 20 days. How many days will be required by three of them to finish the work working together?
a) 11 Days
b) 12 Days
c) 5 Days
d) 10 Days
18. Ramesh and Suresh can do a piece of work in 45 days and 40 days. They began the work together but Ramesh leaves after some days and Suresh finished the remaining work in 23 days. After How many days did Ramesh leave?
a) 22 Days
b) 12 Days
c) 9 Days
d) 21 Days
19. A tap can fill a tank in 24 hours and an outlet can empty the full tank in 30 hours. If both the tap and the outlet are opened simultaneously how many hours will be taken by the empty tank to be filled?
a) 120 Hours
b) 60 Hours
c) 180 Hours
d) 90 Hours
20. Two pipes A and B can separately fill a tank in 2 hours and 3 hours. If both the pipes are opened at the same time in the empty tank, How much time will the tank take to be full?
a) 1 Hour 22 Minutes
b) 1 Hour 12 Minutes
c) 2 Hour 12 Minutes
d) 2 Hour 22 Minutes
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21. Alfred is twice as good a workman as Caiden and together they can finish a piece of work in 18 days. How many days will Alfred alone take to finish the work?
a) 30 Days
b) 27 Days
c) 21 Days
d) 24 Days
22. Param can do a piece of working 10 days; Mahesh can do it in 12 days and Sam in 15 days. All begin together but Param leaves the work after 2 days and Mahesh leaves three days before the completion of the work. How long did the work last?
a) 13 Days
b) 6 Days
c) 11 Days
d) 7 Days
23. Amos can do a piece of work in 25 days and Mark can do it in 20 days. They work at it together for 5 days and then Amos goes away. How many days will Mark take to finish the remaining work?
a) 13 Days
b) 19 Days
c) 23 Days
d) 11 Days
24. A, B, and C can finish a piece of work in 12 days, 15 days, and 20 days. If all the three work at it together and they are paid ₹960 for the whole work. How should the money be divided among them?
a) A: ₹320 B: ₹240 C:₹400
b) A: ₹240 B: ₹320 C:₹400
c) A: ₹400 B: ₹320 C:₹240
d) A: ₹320 B: ₹400 C:₹240
25. Angela can-do 1/5 of the work in 12days and Bethany can do 1/6 of the work in 15 days. How many days will both Angela and Bethany together do the work?
a) 36 Days
b) 38 Days
c) 42 Days
d) 46 Days
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26. Calvin is thrice as good as John and John is twice as good a workman as Peter. All the three took up a job and received ₹1800 as remuneration. What is each’s share?
a) Calvin:₹1200 John:₹400 Peter:₹200
b) Calvin:₹1200 John:₹200 Peter:₹400
c) Calvin:₹400 John:₹1200 Peter:₹200
d) Calvin:₹200 John:₹400 Peter:₹1200
27. Sanju can do a certain job in 12 days. Hitesh is 60% more efficient than Sanju. How many days will Hitesh take to finish the job?
a) 6½ Days
b) 5½ Days
c) 7½ Days
d) 10½ Days
28. A pipe can fill a tank in 16 hours. Due to a leak in the bottom, the tank is filled in 24 hours. How much time will the leak take to empty the tank if it is full?
a) 24 Hour
b) 48 Hour
c) 32 Hour
d) 52 Hours
29. A is twice as good a workman as B and together they finish a piece of work in 14 days. How many days can A alone do it?
a) 12 Days
b) 14 Days
c) 18 Days
d) 21 Days
30. Sophia can do a piece of work in 14 days, while Ruby can do it in 21 days. They began to work together but 3 days before the completion of the work, Sophia leaves off. In how many days will the work be completed?
a) 51/2 Days
b) 51/3 Days
c) 51/4 Days
d) 51/5 Days
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