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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 104 · 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.Isha can finish a job in 5 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Priya works twice as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  3. 3.Diya can finish a job in 13 days and Vivaan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Karan can finish a job in 20 days and Priya in 30 days. Karan works alone for 10 days and then stops. Priya finishes the rest. How many days does Priya take?
  5. 5.Tara and Saanvi together finish a job in 8 days. Tara alone takes 10 days. How many days would Saanvi take alone?
  6. 6.Diya and Aarav together finish a job in 10 days. Diya alone takes 12 days. How many days would Aarav take alone?
  7. 7.Ananya can finish a job in 14 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Nisha works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  9. 9.Vivaan can finish a job in 4 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Sneha can finish a job in 6 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha can finish a job in 14 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. =
  12. 12.Saanvi can finish a job in 8 days and Manav in 24 days. Saanvi works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  13. 13.Sneha can finish a job in 10 days and Dev in 5 days. Sneha works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  14. 14.Rahul can finish a job in 12 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Arjun can finish a job in 11 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Manav and Kabir together finish a job in 12 days. Manav alone takes 30 days. How many days would Kabir take alone?
  17. 17.Sneha can finish a job in 7 days and Ananya in 28 days. Sneha works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  18. 18.Sneha can finish a job in 8 days and Pooja in 16 days. Sneha works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  19. 19.Isha can finish a job in 16 days and Farhan in 30 days. Isha works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  20. 20.Nisha can finish a job in 12 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Zoya can finish a job in 18 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Karan can finish a job in 7 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Saanvi can finish a job in 6 days and Diya in 24 days. Saanvi works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  24. 24.Ishaan works twice as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  25. 25.Farhan and Arjun together finish a job in 4 days. Farhan alone takes 6 days. How many days would Arjun take alone?
  26. 26.Dev works three times as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  27. 27.Pooja and Saanvi together finish a job in 4 days. Pooja alone takes 6 days. How many days would Saanvi take alone?
  28. 28.Aarav can finish a job in 5 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Rohan and Arjun together finish a job in 6 days. Rohan alone takes 10 days. How many days would Arjun take alone?
  30. 30.Priya works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  31. 31.Karan can finish a job in 4 days and Meera in 16 days. Karan works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  32. 32.Kabir can finish a job in 5 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Arjun can finish a job in 6 days and Rahul in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Tara can finish a job in 5 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Meera works three times as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  36. 36.Arjun can finish a job in 7 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ishaan can finish a job in 8 days and Rahul in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Arjun can finish a job in 4 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Ananya and Arjun together finish a job in 3 days. Ananya alone takes 4 days. How many days would Arjun take alone?
  40. 40.Ananya works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?

Answer key

  1. 9/20
  2. 12
  3. 22/117
  4. 15
  5. 40
  6. 60
  7. 11/56
  8. 27
  9. 15/44
  10. 42/13
  11. 238/31
  12. 21
  13. 4
  14. 60/11
  15. 110/21
  16. 20
  17. 24
  18. 12
  19. 15
  20. 3/10
  21. 17/48
  22. 35/12
  23. 16
  24. 36
  25. 12
  26. 48
  27. 12
  28. 14/45
  29. 15
  30. 20
  31. 4
  32. 90/23
  33. 15/4
  34. 45/14
  35. 12
  36. 14/3
  37. 11/28
  38. 3/8
  39. 12
  40. 16

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