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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 304 · 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.Rahul can finish a job in 9 days and Ananya in 24 days. Rahul works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  2. 2.Rahul can finish a job in 8 days and Aditya in 4 days. Rahul works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  3. 3.Isha can finish a job in 24 days and Meera in 16 days. Isha works alone for 21 days and then stops. Meera finishes the rest. How many days does Meera take?
  4. 4.Zoya works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  5. 5.Saanvi and Kavya together finish a job in 15 days. Saanvi alone takes 30 days. How many days would Kavya take alone?
  6. 6.Meera can finish a job in 9 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Manav and Kabir together finish a job in 10 days. Manav alone takes 15 days. How many days would Kabir take alone?
  8. 8.Zoya and Diya together finish a job in 3 days. Zoya alone takes 4 days. How many days would Diya take alone?
  9. 9.Rohan works three times as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  10. 10.Priya and Manav together finish a job in 2 days. Priya alone takes 3 days. How many days would Manav take alone?
  11. 11.Kabir works three times as fast as Vivaan. Together they finish a job in 8 days. How many days would Vivaan take alone?
  12. 12.Saanvi can finish a job in 22 days and Vivaan in 10 days. Saanvi works alone for 11 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  13. 13.Priya can finish a job in 10 days and Tara in 20 days. Priya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  14. 14.Nisha can finish a job in 17 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Rahul can finish a job in 5 days and Nisha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Kavya can finish a job in 26 days and Vivaan in 4 days. Kavya works alone for 13 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  17. 17.Meera can finish a job in 27 days and Aditya in 18 days. Meera works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  18. 18.Ishaan can finish a job in 15 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Saanvi can finish a job in 4 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Pooja works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  21. 21.Kabir can finish a job in 9 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kabir can finish a job in 12 days and Arjun in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Rahul and Manav together finish a job in 6 days. Rahul alone takes 24 days. How many days would Manav take alone?
  24. 24.Rohan works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
  25. 25.Farhan works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  26. 26.Ananya and Kavya together finish a job in 5 days. Ananya alone takes 10 days. How many days would Kavya take alone?
  27. 27.Vivaan can finish a job in 6 days and Farhan in 20 days. Vivaan works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  28. 28.Rahul can finish a job in 12 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Zoya can finish a job in 7 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Kabir and Zoya together finish a job in 6 days. Kabir alone takes 12 days. How many days would Zoya take alone?
  31. 31.Ishaan can finish a job in 16 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Arjun can finish a job in 2 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Tara and Manav together finish a job in 2 days. Tara alone takes 4 days. How many days would Manav take alone?
  34. 34.Kavya works three times as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  35. 35.Arjun works twice as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  36. 36.Saanvi can finish a job in 9 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. =
  37. 37.Ishaan can finish a job in 19 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Rohan works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  39. 39.Arjun works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  40. 40.Dev can finish a job in 7 days and Isha in 19 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 8
  2. 2
  3. 2
  4. 18
  5. 30
  6. 23/63
  7. 30
  8. 12
  9. 32
  10. 6
  11. 32
  12. 5
  13. 16
  14. 36/323
  15. 15/4
  16. 2
  17. 16
  18. 240/31
  19. 12/7
  20. 40
  21. 72/17
  22. 31/76
  23. 8
  24. 33
  25. 28
  26. 10
  27. 10
  28. 7/16
  29. 105/22
  30. 12
  31. 144/17
  32. 16/9
  33. 4
  34. 44
  35. 36
  36. 72/17
  37. 25/57
  38. 27
  39. 33
  40. 52/133

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