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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 454 · 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.Arjun and Tara together finish a job in 4 days. Arjun alone takes 5 days. How many days would Tara take alone?
  2. 2.Meera and Manav together finish a job in 20 days. Meera alone takes 28 days. How many days would Manav take alone?
  3. 3.Rohan can finish a job in 4 days and Nisha in 16 days. Rohan works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  4. 4.Saanvi can finish a job in 8 days and Arjun in 16 days. Saanvi works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  5. 5.Aditya works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  6. 6.Aditya works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  7. 7.Nisha works twice as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
  8. 8.Isha can finish a job in 16 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. =
  9. 9.Saanvi can finish a job in 5 days and Ananya in 30 days. Saanvi works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  10. 10.Isha and Zoya together finish a job in 4 days. Isha alone takes 8 days. How many days would Zoya take alone?
  11. 11.Farhan can finish a job in 16 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Saanvi and Isha together finish a job in 4 days. Saanvi alone takes 5 days. How many days would Isha take alone?
  13. 13.Rohan works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
  14. 14.Kavya can finish a job in 15 days and Meera in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Farhan can finish a job in 5 days and Manav in 15 days. Farhan works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Dev can finish a job in 9 days and Rahul in 6 days. Dev works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  17. 17.Ishaan can finish a job in 8 days and Arjun in 28 days. Ishaan works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  18. 18.Kabir can finish a job in 14 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. =
  19. 19.Arjun works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  20. 20.Sneha can finish a job in 14 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rohan can finish a job in 12 days and Aditya in 4 days. Rohan works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  22. 22.Manav and Vivaan together finish a job in 5 days. Manav alone takes 6 days. How many days would Vivaan take alone?
  23. 23.Ishaan can finish a job in 16 days and Pooja in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Nisha can finish a job in 10 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Rohan can finish a job in 8 days and Nisha in 18 days. Rohan works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  26. 26.Meera can finish a job in 4 days and Nisha in 6 days. Meera works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  27. 27.Ishaan can finish a job in 7 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Dev can finish a job in 20 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Isha works twice as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  30. 30.Nisha and Zoya together finish a job in 15 days. Nisha alone takes 30 days. How many days would Zoya take alone?
  31. 31.Rohan can finish a job in 3 days and Priya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Kavya can finish a job in 10 days and Manav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Aditya and Farhan together finish a job in 4 days. Aditya alone takes 6 days. How many days would Farhan take alone?
  34. 34.Priya and Ananya together finish a job in 6 days. Priya alone takes 7 days. How many days would Ananya take alone?
  35. 35.Tara 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? =
  36. 36.Aarav can finish a job in 6 days and Ananya in 18 days. Aarav works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  37. 37.Rohan can finish a job in 4 days and Diya in 20 days. Rohan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  38. 38.Ananya and Vivaan together finish a job in 3 days. Ananya alone takes 4 days. How many days would Vivaan take alone?
  39. 39.Ishaan and Isha together finish a job in 8 days. Ishaan alone takes 10 days. How many days would Isha take alone?
  40. 40.Kabir can finish a job in 2 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 20
  2. 70
  3. 12
  4. 10
  5. 15
  6. 28
  7. 33
  8. 48/19
  9. 18
  10. 8
  11. 240/31
  12. 20
  13. 48
  14. 105/22
  15. 12
  16. 4
  17. 7
  18. 42/17
  19. 8
  20. 14/3
  21. 1
  22. 30
  23. 144/25
  24. 20/7
  25. 9
  26. 3
  27. 112/23
  28. 20/3
  29. 6
  30. 30
  31. 9/4
  32. 30/13
  33. 12
  34. 42
  35. 3/10
  36. 6
  37. 5
  38. 12
  39. 40
  40. 7/4

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