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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 392 · 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.Vivaan can finish a job in 2 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Vivaan can finish a job in 8 days and Nisha in 24 days. Vivaan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  3. 3.Farhan can finish a job in 2 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Manav and Farhan together finish a job in 2 days. Manav alone takes 3 days. How many days would Farhan take alone?
  5. 5.Sneha works twice as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
  6. 6.Farhan can finish a job in 20 days and Vivaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Rahul can finish a job in 9 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Farhan and Tara together finish a job in 10 days. Farhan alone takes 14 days. How many days would Tara take alone?
  9. 9.Sneha can finish a job in 20 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. =
  10. 10.Ishaan can finish a job in 19 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Arjun can finish a job in 9 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Sneha and Aditya together finish a job in 8 days. Sneha alone takes 9 days. How many days would Aditya take alone?
  13. 13.Tara works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  14. 14.Kabir can finish a job in 14 days and Ishaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Vivaan and Diya together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Diya take alone?
  16. 16.Karan works twice as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  17. 17.Manav can finish a job in 14 days and Vivaan in 28 days. Manav works alone for 11 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  18. 18.Diya can finish a job in 18 days and Isha in 30 days. Diya works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  19. 19.Rohan can finish a job in 9 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. =
  20. 20.Rahul and Manav together finish a job in 12 days. Rahul alone takes 20 days. How many days would Manav take alone?
  21. 21.Rohan works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  22. 22.Diya can finish a job in 19 days and Ishaan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Karan works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  24. 24.Ishaan can finish a job in 11 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Manav works three times as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  26. 26.Pooja can finish a job in 15 days and Zoya in 30 days. Pooja works alone for 10 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  27. 27.Nisha can finish a job in 14 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Isha works twice as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
  29. 29.Aarav can finish a job in 8 days and Zoya in 16 days. Aarav works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  30. 30.Dev can finish a job in 5 days and Manav in 25 days. Dev works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  31. 31.Sneha can finish a job in 3 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Pooja can finish a job in 13 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Diya and Kavya together finish a job in 2 days. Diya alone takes 6 days. How many days would Kavya take alone?
  34. 34.Rohan and Rahul together finish a job in 6 days. Rohan alone takes 8 days. How many days would Rahul take alone?
  35. 35.Farhan and Pooja together finish a job in 6 days. Farhan alone takes 15 days. How many days would Pooja take alone?
  36. 36.Vivaan and Saanvi together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Saanvi take alone?
  37. 37.Arjun and Priya together finish a job in 5 days. Arjun alone takes 6 days. How many days would Priya take alone?
  38. 38.Sneha and Pooja together finish a job in 12 days. Sneha alone takes 14 days. How many days would Pooja take alone?
  39. 39.Rahul works three times as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  40. 40.Saanvi can finish a job in 4 days and Meera in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 38/21
  2. 6
  3. 34/19
  4. 6
  5. 30
  6. 380/39
  7. 99/20
  8. 35
  9. 180/19
  10. 78/133
  11. 63/16
  12. 72
  13. 12
  14. 70/19
  15. 6
  16. 27
  17. 6
  18. 20
  19. 6
  20. 30
  21. 16
  22. 23/76
  23. 40
  24. 176/27
  25. 40
  26. 10
  27. 13/28
  28. 30
  29. 8
  30. 15
  31. 51/20
  32. 208/29
  33. 3
  34. 24
  35. 10
  36. 12
  37. 30
  38. 84
  39. 40
  40. 28/11

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