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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 460 · 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.Sneha works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  2. 2.Diya and Ananya together finish a job in 3 days. Diya alone takes 4 days. How many days would Ananya take alone?
  3. 3.Pooja works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  4. 4.Aarav can finish a job in 6 days and Ishaan in 12 days. Aarav works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  5. 5.Vivaan can finish a job in 8 days and Priya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Priya can finish a job in 6 days and Nisha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Rohan can finish a job in 20 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Saanvi can finish a job in 6 days and Kavya in 24 days. Saanvi works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  9. 9.Dev can finish a job in 5 days and Aditya in 25 days. Dev works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  10. 10.Vivaan can finish a job in 6 days and Aarav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kabir and Farhan together finish a job in 4 days. Kabir alone takes 6 days. How many days would Farhan take alone?
  12. 12.Aarav can finish a job in 2 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Manav and Isha together finish a job in 12 days. Manav alone takes 15 days. How many days would Isha take alone?
  14. 14.Rahul can finish a job in 7 days and Vivaan in 21 days. Rahul works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  15. 15.Aditya and Dev together finish a job in 10 days. Aditya alone takes 12 days. How many days would Dev take alone?
  16. 16.Kabir works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  17. 17.Rohan can finish a job in 12 days and Tara in 24 days. Rohan works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  18. 18.Rohan 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 2 days? =
  19. 19.Karan works three times as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  20. 20.Rahul and Ananya together finish a job in 2 days. Rahul alone takes 3 days. How many days would Ananya take alone?
  21. 21.Kavya can finish a job in 11 days and Zoya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Sneha works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  23. 23.Manav can finish a job in 6 days and Arjun in 4 days. Manav works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  24. 24.Vivaan can finish a job in 18 days and Kavya in 30 days. Vivaan works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  25. 25.Diya works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  26. 26.Pooja can finish a job in 11 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Zoya works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  28. 28.Ishaan can finish a job in 12 days and Aarav in 30 days. Ishaan works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  29. 29.Ishaan can finish a job in 2 days and Saanvi in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Meera can finish a job in 12 days and Karan in 27 days. Meera works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  31. 31.Saanvi and Priya together finish a job in 5 days. Saanvi alone takes 6 days. How many days would Priya take alone?
  32. 32.Nisha can finish a job in 7 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Tara can finish a job in 11 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. =
  34. 34.Kabir can finish a job in 12 days and Saanvi in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Dev and Farhan together finish a job in 4 days. Dev alone takes 5 days. How many days would Farhan take alone?
  36. 36.Saanvi works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  37. 37.Zoya and Ananya together finish a job in 4 days. Zoya alone takes 6 days. How many days would Ananya take alone?
  38. 38.Rohan can finish a job in 13 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya works twice as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  40. 40.Aarav can finish a job in 7 days and Karan in 16 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 9
  2. 12
  3. 15
  4. 10
  5. 56/11
  6. 78/19
  7. 7/40
  8. 20
  9. 5
  10. 9/2
  11. 12
  12. 30/17
  13. 60
  14. 9
  15. 60
  16. 24
  17. 18
  18. 8/15
  19. 44
  20. 6
  21. 17/22
  22. 48
  23. 2
  24. 25
  25. 15
  26. 44/15
  27. 36
  28. 15
  29. 20/11
  30. 18
  31. 30
  32. 44/105
  33. 77/18
  34. 156/25
  35. 20
  36. 20
  37. 12
  38. 195/28
  39. 27
  40. 69/112

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