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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 133 · 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.Kavya and Aarav together finish a job in 9 days. Kavya alone takes 18 days. How many days would Aarav take alone?
  2. 2.Manav and Diya together finish a job in 2 days. Manav alone takes 4 days. How many days would Diya take alone?
  3. 3.Rohan and Diya together finish a job in 15 days. Rohan alone takes 20 days. How many days would Diya take alone?
  4. 4.Saanvi works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  5. 5.Rahul can finish a job in 4 days and Diya in 28 days. Rahul works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  6. 6.Karan can finish a job in 4 days and Ishaan in 10 days. Karan works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  7. 7.Arjun works three times as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  8. 8.Aarav can finish a job in 26 days and Saanvi in 13 days. Aarav works alone for 22 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  9. 9.Sneha and Aarav together finish a job in 3 days. Sneha alone takes 4 days. How many days would Aarav take alone?
  10. 10.Meera can finish a job in 7 days and Priya in 14 days. Meera works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  11. 11.Diya can finish a job in 5 days and Vivaan in 30 days. Diya works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  12. 12.Dev can finish a job in 4 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Nisha can finish a job in 14 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Meera can finish a job in 11 days and Karan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Sneha can finish a job in 11 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Saanvi works twice as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  17. 17.Kavya can finish a job in 5 days and Saanvi in 10 days. Kavya works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  18. 18.Kabir can finish a job in 8 days and Meera in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Rohan works three times as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  20. 20.Ananya can finish a job in 6 days and Karan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Diya can finish a job in 13 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Sneha works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  23. 23.Kabir can finish a job in 11 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Pooja can finish a job in 4 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Meera works twice as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  26. 26.Rahul can finish a job in 4 days and Rohan in 18 days. Rahul works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  27. 27.Aarav and Farhan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Farhan take alone?
  28. 28.Isha works three times as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  29. 29.Aditya can finish a job in 6 days and Priya in 27 days. Aditya works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  30. 30.Tara can finish a job in 19 days and Meera in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun can finish a job in 8 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Vivaan can finish a job in 8 days and Meera in 26 days. Vivaan works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  33. 33.Sneha can finish a job in 12 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kavya can finish a job in 19 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kavya can finish a job in 2 days and Vivaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Dev can finish a job in 18 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Rahul works three times as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  38. 38.Zoya can finish a job in 7 days and Nisha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Zoya can finish a job in 12 days and Kabir in 9 days. Zoya works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  40. 40.Farhan and Nisha together finish a job in 3 days. Farhan alone takes 4 days. How many days would Nisha take alone?

Answer key

  1. 18
  2. 4
  3. 60
  4. 30
  5. 14
  6. 5
  7. 8
  8. 2
  9. 12
  10. 8
  11. 24
  12. 16/5
  13. 25/154
  14. 220/31
  15. 90/209
  16. 30
  17. 8
  18. 9/16
  19. 36
  20. 13/21
  21. 143/24
  22. 20
  23. 20/99
  24. 8/3
  25. 36
  26. 9
  27. 6
  28. 24
  29. 18
  30. 228/31
  31. 120/23
  32. 13
  33. 15/2
  34. 57/22
  35. 14/9
  36. 25/126
  37. 28
  38. 27/140
  39. 3
  40. 12

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