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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 199 · 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.Kabir can finish a job in 19 days and Priya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Zoya and Meera together finish a job in 6 days. Zoya alone takes 9 days. How many days would Meera take alone?
  3. 3.Ishaan works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  4. 4.Meera can finish a job in 12 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Nisha and Sneha together finish a job in 8 days. Nisha alone takes 10 days. How many days would Sneha take alone?
  6. 6.Aarav works three times as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  7. 7.Manav works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  8. 8.Tara can finish a job in 11 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Sneha can finish a job in 13 days and Meera in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Karan can finish a job in 11 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Sneha can finish a job in 19 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Tara can finish a job in 8 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Vivaan and Manav together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Manav take alone?
  14. 14.Nisha can finish a job in 16 days and Aditya in 28 days. Nisha works alone for 12 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  15. 15.Farhan can finish a job in 4 days and Saanvi in 20 days. Farhan works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  16. 16.Diya works twice as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  17. 17.Karan can finish a job in 4 days and Ishaan in 18 days. Karan works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  18. 18.Rahul can finish a job in 10 days and Aditya in 30 days. Rahul works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  19. 19.Arjun can finish a job in 2 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Manav can finish a job in 12 days and Sneha in 30 days. Manav works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  21. 21.Zoya can finish a job in 8 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Pooja and Arjun together finish a job in 2 days. Pooja alone takes 3 days. How many days would Arjun take alone?
  23. 23.Kavya can finish a job in 10 days and Pooja in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Ananya can finish a job in 5 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Priya can finish a job in 6 days and Rohan in 12 days. Priya works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  26. 26.Manav can finish a job in 5 days and Arjun in 10 days. Manav works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  27. 27.Manav and Kabir together finish a job in 2 days. Manav alone takes 6 days. How many days would Kabir take alone?
  28. 28.Vivaan can finish a job in 14 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Pooja can finish a job in 11 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Karan works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
  31. 31.Manav can finish a job in 12 days and Kabir in 6 days. Manav works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  32. 32.Meera works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  33. 33.Ananya can finish a job in 14 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Karan can finish a job in 13 days and Arjun in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Karan can finish a job in 19 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Kavya can finish a job in 6 days and Aarav in 27 days. Kavya works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  37. 37.Rohan and Ishaan together finish a job in 10 days. Rohan alone takes 14 days. How many days would Ishaan take alone?
  38. 38.Diya can finish a job in 11 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya and Meera together finish a job in 2 days. Ananya alone takes 4 days. How many days would Meera take alone?
  40. 40.Kavya works twice as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?

Answer key

  1. 114/25
  2. 18
  3. 36
  4. 17/30
  5. 40
  6. 32
  7. 12
  8. 19/88
  9. 29/208
  10. 77/18
  11. 171/28
  12. 21/40
  13. 12
  14. 7
  15. 5
  16. 12
  17. 9
  18. 21
  19. 34/19
  20. 20
  21. 120/23
  22. 6
  23. 18/35
  24. 55/16
  25. 6
  26. 4
  27. 3
  28. 45/112
  29. 36/77
  30. 30
  31. 4
  32. 12
  33. 70/19
  34. 234/31
  35. 29/190
  36. 9
  37. 35
  38. 77/18
  39. 4
  40. 21

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