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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 225 · 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 works three times as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
  2. 2.Arjun can finish a job in 12 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ishaan can finish a job in 30 days and Rahul in 4 days. Ishaan works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  4. 4.Karan can finish a job in 6 days and Saanvi in 8 days. Karan works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  5. 5.Sneha can finish a job in 22 days and Pooja in 16 days. Sneha works alone for 11 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  6. 6.Ananya can finish a job in 8 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Tara can finish a job in 15 days and Rohan in 30 days. Tara works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  8. 8.Karan can finish a job in 11 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ananya can finish a job in 11 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Kavya can finish a job in 8 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ishaan can finish a job in 5 days and Karan in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Tara can finish a job in 13 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Rahul can finish a job in 18 days and Farhan in 20 days. Rahul works alone for 9 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  14. 14.Nisha and Dev together finish a job in 2 days. Nisha alone takes 3 days. How many days would Dev take alone?
  15. 15.Ishaan can finish a job in 12 days and Isha in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Pooja can finish a job in 16 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kabir can finish a job in 8 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Priya can finish a job in 8 days and Rahul in 28 days. Priya works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  19. 19.Karan can finish a job in 11 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Zoya works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  21. 21.Isha can finish a job in 8 days and Saanvi in 16 days. Isha works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  22. 22.Meera can finish a job in 14 days and Kavya in 28 days. Meera works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  23. 23.Meera can finish a job in 10 days and Kavya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Saanvi can finish a job in 18 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kavya can finish a job in 19 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Kabir can finish a job in 7 days and Arjun in 8 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 7 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Manav can finish a job in 19 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. =
  29. 29.Sneha can finish a job in 25 days and Saanvi in 10 days. Sneha works alone for 20 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  30. 30.Aarav can finish a job in 9 days and Manav in 27 days. Aarav works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
  31. 31.Isha and Pooja together finish a job in 4 days. Isha alone takes 12 days. How many days would Pooja take alone?
  32. 32.Farhan can finish a job in 4 days and Diya in 8 days. Farhan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  33. 33.Aarav can finish a job in 6 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Aditya can finish a job in 15 days and Diya in 30 days. Aditya works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  35. 35.Aditya can finish a job in 2 days and Priya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav works three times as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  37. 37.Priya and Karan together finish a job in 5 days. Priya alone takes 10 days. How many days would Karan take alone?
  38. 38.Ananya can finish a job in 8 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Diya works three times as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  40. 40.Zoya can finish a job in 10 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 36
  2. 48/7
  3. 2
  4. 4
  5. 8
  6. 15/56
  7. 22
  8. 165/26
  9. 17/22
  10. 8/5
  11. 3/4
  12. 221/30
  13. 10
  14. 6
  15. 29/102
  16. 80/21
  17. 7/8
  18. 14
  19. 55/16
  20. 6
  21. 8
  22. 22
  23. 4/5
  24. 90/11
  25. 78/133
  26. 56/15
  27. 32/63
  28. 133/26
  29. 2
  30. 3
  31. 6
  32. 2
  33. 11/30
  34. 26
  35. 34/19
  36. 24
  37. 10
  38. 8/5
  39. 36
  40. 87/190

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