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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 118 · 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.Zoya can finish a job in 19 days and Sneha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Dev can finish a job in 7 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Saanvi can finish a job in 16 days and Tara in 8 days. Saanvi works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  4. 4.Saanvi and Rahul together finish a job in 6 days. Saanvi alone takes 8 days. How many days would Rahul take alone?
  5. 5.Ishaan can finish a job in 17 days and Dev in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Tara can finish a job in 3 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ishaan can finish a job in 8 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Aarav and Manav together finish a job in 6 days. Aarav alone takes 10 days. How many days would Manav take alone?
  9. 9.Kabir works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  10. 10.Zoya works three times as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  11. 11.Manav and Ananya together finish a job in 12 days. Manav alone takes 28 days. How many days would Ananya take alone?
  12. 12.Aditya can finish a job in 15 days and Priya in 9 days. Aditya works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  13. 13.Manav can finish a job in 7 days and Kavya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Diya can finish a job in 10 days and Nisha in 25 days. Diya works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  15. 15.Kabir works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  16. 16.Dev can finish a job in 19 days and Sneha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rohan can finish a job in 8 days and Priya in 12 days. Rohan works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  18. 18.Priya and Manav together finish a job in 12 days. Priya alone takes 16 days. How many days would Manav take alone?
  19. 19.Vivaan can finish a job in 12 days and Sneha in 4 days. Vivaan works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  20. 20.Dev works three times as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
  21. 21.Farhan can finish a job in 8 days and Ishaan in 30 days. Farhan works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  22. 22.Saanvi can finish a job in 9 days and Kabir in 15 days. Saanvi works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  23. 23.Karan can finish a job in 16 days and Kabir in 12 days. Karan works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  24. 24.Sneha can finish a job in 2 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kabir can finish a job in 12 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Nisha can finish a job in 5 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Zoya can finish a job in 19 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan and Rohan together finish a job in 8 days. Ishaan alone takes 10 days. How many days would Rohan take alone?
  29. 29.Manav and Ananya together finish a job in 5 days. Manav alone takes 10 days. How many days would Ananya take alone?
  30. 30.Aarav works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  31. 31.Karan works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  32. 32.Arjun works twice as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
  33. 33.Vivaan can finish a job in 25 days and Diya in 20 days. Vivaan works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  34. 34.Ananya can finish a job in 9 days and Kavya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi can finish a job in 16 days and Ishaan in 6 days. Saanvi works alone for 8 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  36. 36.Dev can finish a job in 8 days and Meera in 20 days. Dev works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  37. 37.Diya can finish a job in 19 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Rohan works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  39. 39.Tara and Sneha together finish a job in 2 days. Tara alone takes 3 days. How many days would Sneha take alone?
  40. 40.Kabir can finish a job in 6 days and Isha in 22 days. Kabir works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?

Answer key

  1. 285/34
  2. 56/15
  3. 4
  4. 24
  5. 30/221
  6. 57/22
  7. 72/13
  8. 15
  9. 33
  10. 32
  11. 21
  12. 6
  13. 140/27
  14. 20
  15. 24
  16. 380/39
  17. 6
  18. 48
  19. 3
  20. 40
  21. 15
  22. 10
  23. 9
  24. 16/9
  25. 19/84
  26. 85/22
  27. 266/33
  28. 40
  29. 10
  30. 12
  31. 24
  32. 33
  33. 12
  34. 180/29
  35. 3
  36. 5
  37. 27/76
  38. 15
  39. 6
  40. 11

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