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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 123 · 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.Dev and Tara together finish a job in 7 days. Dev alone takes 8 days. How many days would Tara take alone?
  2. 2.Kabir works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  3. 3.Dev can finish a job in 4 days and Sneha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Saanvi can finish a job in 9 days and Diya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Nisha can finish a job in 10 days and Arjun in 20 days. Nisha works alone for 8 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  6. 6.Aditya works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  7. 7.Rahul can finish a job in 13 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Ananya and Ishaan together finish a job in 4 days. Ananya alone takes 6 days. How many days would Ishaan take alone?
  9. 9.Rahul can finish a job in 15 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Vivaan can finish a job in 2 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Diya can finish a job in 20 days and Isha in 28 days. Diya works alone for 10 days and then stops. Isha finishes the rest. How many days does Isha take?
  12. 12.Sneha can finish a job in 9 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aarav and Arjun together finish a job in 2 days. Aarav alone takes 3 days. How many days would Arjun take alone?
  14. 14.Saanvi works three times as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  15. 15.Diya can finish a job in 6 days and Tara in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Sneha can finish a job in 5 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Tara works three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
  18. 18.Zoya and Pooja together finish a job in 9 days. Zoya alone takes 12 days. How many days would Pooja take alone?
  19. 19.Sneha can finish a job in 4 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Priya and Rohan together finish a job in 2 days. Priya alone takes 4 days. How many days would Rohan take alone?
  21. 21.Manav and Kabir together finish a job in 2 days. Manav alone takes 3 days. How many days would Kabir take alone?
  22. 22.Dev can finish a job in 5 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Saanvi and Tara together finish a job in 6 days. Saanvi alone takes 9 days. How many days would Tara take alone?
  24. 24.Saanvi and Vivaan together finish a job in 6 days. Saanvi alone takes 8 days. How many days would Vivaan take alone?
  25. 25.Aarav works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  26. 26.Rohan can finish a job in 4 days and Diya in 20 days. Rohan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  27. 27.Manav can finish a job in 24 days and Ananya in 4 days. Manav works alone for 12 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  28. 28.Farhan and Aarav together finish a job in 5 days. Farhan alone takes 6 days. How many days would Aarav take alone?
  29. 29.Nisha works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  30. 30.Karan can finish a job in 30 days and Diya in 9 days. Karan works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Kavya and Zoya together finish a job in 16 days. Kavya alone takes 20 days. How many days would Zoya take alone?
  32. 32.Priya works three times as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  33. 33.Kavya works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  34. 34.Nisha can finish a job in 20 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aarav can finish a job in 20 days and Kavya in 5 days. Aarav works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  36. 36.Priya works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  37. 37.Farhan can finish a job in 6 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Aarav works three times as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  39. 39.Ananya can finish a job in 11 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aarav can finish a job in 18 days and Diya in 9 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 56
  2. 20
  3. 28/11
  4. 13/18
  5. 4
  6. 12
  7. 91/20
  8. 12
  9. 15/4
  10. 7/4
  11. 14
  12. 126/23
  13. 6
  14. 8
  15. 7/10
  16. 36/65
  17. 48
  18. 36
  19. 1/3
  20. 4
  21. 6
  22. 45/14
  23. 18
  24. 24
  25. 8
  26. 10
  27. 2
  28. 30
  29. 18
  30. 6
  31. 80
  32. 16
  33. 33
  34. 20/11
  35. 3
  36. 9
  37. 13/21
  38. 32
  39. 198/29
  40. 1/6

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