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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 361 · 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.Ananya can finish a job in 16 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Aditya can finish a job in 18 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Manav and Pooja together finish a job in 18 days. Manav alone takes 30 days. How many days would Pooja take alone?
  4. 4.Kavya can finish a job in 10 days and Zoya in 30 days. Kavya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  5. 5.Tara can finish a job in 5 days and Diya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Rahul and Sneha together finish a job in 14 days. Rahul alone takes 28 days. How many days would Sneha take alone?
  7. 7.Aditya works twice as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  8. 8.Arjun can finish a job in 5 days and Aarav in 20 days. Arjun works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  9. 9.Diya can finish a job in 26 days and Sneha in 14 days. Diya works alone for 13 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  10. 10.Zoya and Ananya together finish a job in 16 days. Zoya alone takes 24 days. How many days would Ananya take alone?
  11. 11.Arjun can finish a job in 19 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. =
  12. 12.Isha can finish a job in 4 days and Priya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Arjun and Rahul together finish a job in 4 days. Arjun alone takes 5 days. How many days would Rahul take alone?
  14. 14.Kabir works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  15. 15.Rohan and Ishaan together finish a job in 7 days. Rohan alone takes 8 days. How many days would Ishaan take alone?
  16. 16.Meera and Nisha together finish a job in 4 days. Meera alone takes 5 days. How many days would Nisha take alone?
  17. 17.Rohan can finish a job in 30 days and Sneha in 22 days. Rohan works alone for 15 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  18. 18.Rahul and Tara together finish a job in 2 days. Rahul alone takes 4 days. How many days would Tara take alone?
  19. 19.Saanvi and Isha together finish a job in 4 days. Saanvi alone takes 12 days. How many days would Isha take alone?
  20. 20.Ananya can finish a job in 4 days and Kabir in 8 days. Ananya works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  21. 21.Aditya can finish a job in 19 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Sneha can finish a job in 2 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Meera can finish a job in 6 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Zoya works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  25. 25.Ananya can finish a job in 17 days and Saanvi in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Saanvi can finish a job in 11 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Aditya works twice as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
  28. 28.Aditya can finish a job in 17 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Karan works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  30. 30.Pooja and Dev together finish a job in 8 days. Pooja alone takes 9 days. How many days would Dev take alone?
  31. 31.Nisha can finish a job in 8 days and Diya in 24 days. Nisha works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  32. 32.Farhan and Sneha together finish a job in 2 days. Farhan alone takes 3 days. How many days would Sneha take alone?
  33. 33.Rahul can finish a job in 6 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Farhan and Ishaan together finish a job in 9 days. Farhan alone takes 12 days. How many days would Ishaan take alone?
  35. 35.Diya can finish a job in 20 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Karan can finish a job in 20 days and Rahul in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Manav works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
  38. 38.Kabir and Isha together finish a job in 4 days. Kabir alone takes 5 days. How many days would Isha take alone?
  39. 39.Saanvi works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  40. 40.Kabir can finish a job in 10 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 80/9
  2. 144/17
  3. 45
  4. 15
  5. 17/20
  6. 28
  7. 15
  8. 4
  9. 7
  10. 48
  11. 95/24
  12. 9/14
  13. 20
  14. 6
  15. 56
  16. 20
  17. 11
  18. 4
  19. 6
  20. 6
  21. 76/23
  22. 12/7
  23. 9/2
  24. 18
  25. 29/204
  26. 20/99
  27. 33
  28. 63/68
  29. 33
  30. 72
  31. 6
  32. 6
  33. 17/22
  34. 36
  35. 19/60
  36. 260/33
  37. 36
  38. 20
  39. 8
  40. 110/21

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