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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 145 · 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.Karan works twice as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  2. 2.Manav can finish a job in 13 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rohan can finish a job in 12 days and Rahul in 24 days. Rohan works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  4. 4.Dev and Diya together finish a job in 2 days. Dev alone takes 3 days. How many days would Diya take alone?
  5. 5.Priya and Tara together finish a job in 18 days. Priya alone takes 24 days. How many days would Tara take alone?
  6. 6.Meera and Diya together finish a job in 3 days. Meera alone takes 4 days. How many days would Diya take alone?
  7. 7.Isha can finish a job in 18 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Ananya can finish a job in 2 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ishaan can finish a job in 7 days and Pooja in 14 days. Ishaan works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  10. 10.Priya works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  11. 11.Arjun can finish a job in 4 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Sneha can finish a job in 19 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Isha can finish a job in 9 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. =
  14. 14.Isha and Aarav together finish a job in 2 days. Isha alone takes 3 days. How many days would Aarav take alone?
  15. 15.Meera can finish a job in 4 days and Arjun in 24 days. Meera works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  16. 16.Nisha works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  17. 17.Kavya can finish a job in 12 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Farhan and Manav together finish a job in 2 days. Farhan alone takes 3 days. How many days would Manav take alone?
  19. 19.Rohan can finish a job in 9 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. =
  20. 20.Farhan can finish a job in 5 days and Karan in 30 days. Farhan works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  21. 21.Farhan can finish a job in 20 days and Priya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Farhan and Tara together finish a job in 4 days. Farhan alone takes 5 days. How many days would Tara take alone?
  23. 23.Kabir can finish a job in 7 days and Saanvi in 14 days. Kabir works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  24. 24.Karan and Ananya together finish a job in 20 days. Karan alone takes 30 days. How many days would Ananya take alone?
  25. 25.Isha can finish a job in 4 days and Manav in 26 days. Isha works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  26. 26.Kavya and Kabir together finish a job in 6 days. Kavya alone takes 24 days. How many days would Kabir take alone?
  27. 27.Saanvi can finish a job in 4 days and Rahul in 14 days. Saanvi works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  28. 28.Saanvi can finish a job in 2 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aarav can finish a job in 6 days and Rohan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Manav can finish a job in 13 days and Diya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Ananya and Diya together finish a job in 5 days. Ananya alone takes 6 days. How many days would Diya take alone?
  32. 32.Pooja can finish a job in 16 days and Saanvi in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ishaan works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  34. 34.Kabir can finish a job in 10 days and Nisha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Nisha and Aarav together finish a job in 4 days. Nisha alone takes 5 days. How many days would Aarav take alone?
  36. 36.Vivaan and Rahul together finish a job in 4 days. Vivaan alone takes 20 days. How many days would Rahul take alone?
  37. 37.Diya and Arjun together finish a job in 2 days. Diya alone takes 6 days. How many days would Arjun take alone?
  38. 38.Karan can finish a job in 8 days and Isha in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Aarav and Sneha together finish a job in 10 days. Aarav alone takes 14 days. How many days would Sneha take alone?
  40. 40.Saanvi can finish a job in 13 days and Nisha in 26 days. Saanvi works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?

Answer key

  1. 21
  2. 234/31
  3. 8
  4. 6
  5. 72
  6. 12
  7. 5/12
  8. 20/11
  9. 6
  10. 28
  11. 12/5
  12. 95/24
  13. 45/8
  14. 6
  15. 12
  16. 16
  17. 3
  18. 6
  19. 63/16
  20. 12
  21. 3/4
  22. 20
  23. 12
  24. 60
  25. 13
  26. 8
  27. 7
  28. 26/15
  29. 5/9
  30. 64/247
  31. 30
  32. 16/5
  33. 30
  34. 21/110
  35. 20
  36. 5
  37. 3
  38. 75/136
  39. 35
  40. 12

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