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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 170 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Aarav can finish a job in 10 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Priya can finish a job in 21 days and Nisha in 18 days. Priya works alone for 14 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  3. 3.Zoya can finish a job in 12 days and Nisha in 6 days. Zoya works alone for 8 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  4. 4.Sneha works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  5. 5.Aarav can finish a job in 8 days and Manav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kabir can finish a job in 4 days and Sneha in 20 days. Kabir works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  7. 7.Farhan can finish a job in 8 days and Nisha in 24 days. Farhan works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  8. 8.Kabir can finish a job in 7 days and Vivaan in 14 days. Kabir works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  9. 9.Karan can finish a job in 8 days and Vivaan in 16 days. Karan works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  10. 10.Rahul works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  11. 11.Priya and Karan together finish a job in 12 days. Priya alone takes 18 days. How many days would Karan take alone?
  12. 12.Kavya works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  13. 13.Meera can finish a job in 14 days and Farhan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Zoya works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  15. 15.Rahul can finish a job in 15 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Aditya and Pooja together finish a job in 2 days. Aditya alone takes 3 days. How many days would Pooja take alone?
  17. 17.Rohan can finish a job in 3 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera can finish a job in 12 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Pooja and Aarav together finish a job in 4 days. Pooja alone takes 8 days. How many days would Aarav take alone?
  20. 20.Aarav can finish a job in 5 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Manav can finish a job in 5 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Priya can finish a job in 10 days and Nisha in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Nisha can finish a job in 18 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Pooja can finish a job in 5 days and Aarav in 30 days. Pooja works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  25. 25.Ananya works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  26. 26.Farhan works three times as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  27. 27.Farhan can finish a job in 18 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Diya can finish a job in 14 days and Rohan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Diya works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  30. 30.Zoya can finish a job in 10 days and Dev in 26 days. Zoya works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  31. 31.Sneha can finish a job in 9 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Rohan can finish a job in 10 days and Rahul in 14 days. Rohan works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  33. 33.Priya works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  34. 34.Diya can finish a job in 5 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Manav can finish a job in 4 days and Rohan in 12 days. Manav works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  36. 36.Ananya can finish a job in 11 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Tara can finish a job in 3 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ananya can finish a job in 20 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Vivaan can finish a job in 10 days and Isha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Saanvi can finish a job in 4 days and Aarav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 40/9
  2. 6
  3. 2
  4. 8
  5. 72/13
  6. 5
  7. 3
  8. 10
  9. 10
  10. 48
  11. 36
  12. 16
  13. 70/19
  14. 15
  15. 3/20
  16. 6
  17. 48/19
  18. 132/23
  19. 8
  20. 85/22
  21. 15/8
  22. 3/10
  23. 5/18
  24. 6
  25. 36
  26. 12
  27. 306/35
  28. 25/77
  29. 8
  30. 13
  31. 25/48
  32. 7
  33. 32
  34. 28/45
  35. 3
  36. 28/187
  37. 33/14
  38. 340/37
  39. 190/29
  40. 3

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