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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 87 · 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.Vivaan and Saanvi together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Saanvi take alone?
  2. 2.Sneha can finish a job in 16 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Rahul and Nisha together finish a job in 10 days. Rahul alone takes 14 days. How many days would Nisha take alone?
  4. 4.Kavya and Ishaan together finish a job in 8 days. Kavya alone takes 24 days. How many days would Ishaan take alone?
  5. 5.Nisha can finish a job in 11 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Sneha can finish a job in 7 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Kabir can finish a job in 18 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Aditya can finish a job in 15 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Rohan works three times as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  10. 10.Farhan can finish a job in 14 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ananya can finish a job in 17 days and Tara in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Rahul works three times as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  13. 13.Kavya works three times as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  14. 14.Rahul can finish a job in 25 days and Kavya in 30 days. Rahul works alone for 20 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Kabir can finish a job in 7 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aarav can finish a job in 20 days and Tara in 24 days. Aarav works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  17. 17.Nisha and Arjun together finish a job in 2 days. Nisha alone takes 3 days. How many days would Arjun take alone?
  18. 18.Kabir can finish a job in 14 days and Zoya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kabir works twice as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  20. 20.Rohan can finish a job in 20 days and Isha in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Nisha works three times as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
  22. 22.Karan can finish a job in 19 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kabir and Vivaan together finish a job in 4 days. Kabir alone takes 12 days. How many days would Vivaan take alone?
  24. 24.Diya can finish a job in 5 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Ananya can finish a job in 17 days and Arjun in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rohan works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  27. 27.Vivaan can finish a job in 24 days and Isha in 16 days. Vivaan works alone for 21 days and then stops. Isha finishes the rest. How many days does Isha take?
  28. 28.Rohan and Dev together finish a job in 3 days. Rohan alone takes 6 days. How many days would Dev take alone?
  29. 29.Manav can finish a job in 8 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Kabir can finish a job in 28 days and Pooja in 20 days. Kabir works alone for 21 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  31. 31.Vivaan and Kabir together finish a job in 9 days. Vivaan alone takes 18 days. How many days would Kabir take alone?
  32. 32.Dev can finish a job in 2 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Kavya can finish a job in 12 days and Manav in 9 days. Kavya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  34. 34.Farhan and Karan together finish a job in 12 days. Farhan alone takes 15 days. How many days would Karan take alone?
  35. 35.Meera works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  36. 36.Zoya and Kabir together finish a job in 2 days. Zoya alone takes 3 days. How many days would Kabir take alone?
  37. 37.Rahul can finish a job in 4 days and Zoya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Meera can finish a job in 19 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Saanvi can finish a job in 4 days and Dev in 20 days. Saanvi works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  40. 40.Manav works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?

Answer key

  1. 12
  2. 27/176
  3. 35
  4. 12
  5. 25/77
  6. 91/20
  7. 11/30
  8. 32/255
  9. 20
  10. 70/19
  11. 90/221
  12. 44
  13. 48
  14. 6
  15. 22/35
  16. 18
  17. 6
  18. 154/25
  19. 6
  20. 7/30
  21. 40
  22. 76/23
  23. 6
  24. 32/55
  25. 153/26
  26. 48
  27. 2
  28. 6
  29. 45/56
  30. 5
  31. 18
  32. 6/5
  33. 6
  34. 60
  35. 12
  36. 6
  37. 19/30
  38. 108/323
  39. 15
  40. 27

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