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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 435 · 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.Rohan can finish a job in 6 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Vivaan can finish a job in 14 days and Karan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Arjun and Dev together finish a job in 3 days. Arjun alone takes 12 days. How many days would Dev take alone?
  4. 4.Ananya can finish a job in 17 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya can finish a job in 11 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Arjun can finish a job in 13 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Tara can finish a job in 16 days and Saanvi in 8 days. Tara works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  8. 8.Manav and Zoya together finish a job in 16 days. Manav alone takes 24 days. How many days would Zoya take alone?
  9. 9.Nisha can finish a job in 9 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Rahul and Arjun together finish a job in 2 days. Rahul alone takes 3 days. How many days would Arjun take alone?
  11. 11.Karan can finish a job in 17 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ishaan can finish a job in 5 days and Rahul in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ishaan can finish a job in 10 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Aditya can finish a job in 20 days and Priya in 30 days. Aditya works alone for 16 days and then stops. Priya finishes the rest. How many days does Priya take?
  15. 15.Diya can finish a job in 11 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Vivaan and Ananya together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Ananya take alone?
  17. 17.Ananya works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  18. 18.Kavya can finish a job in 17 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Rohan can finish a job in 14 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Priya can finish a job in 7 days and Farhan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Aarav works three times as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
  22. 22.Rahul can finish a job in 20 days and Meera in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Meera works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  24. 24.Arjun can finish a job in 2 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Meera can finish a job in 6 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Aditya can finish a job in 9 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Karan can finish a job in 4 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Tara can finish a job in 11 days and Isha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Kabir and Saanvi together finish a job in 4 days. Kabir alone takes 12 days. How many days would Saanvi take alone?
  30. 30.Karan works three times as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  31. 31.Rohan and Kavya together finish a job in 18 days. Rohan alone takes 30 days. How many days would Kavya take alone?
  32. 32.Vivaan can finish a job in 17 days and Dev in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Ishaan and Zoya together finish a job in 20 days. Ishaan alone takes 30 days. How many days would Zoya take alone?
  34. 34.Karan can finish a job in 10 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Farhan can finish a job in 20 days and Manav in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Ishaan works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  37. 37.Meera can finish a job in 12 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Tara can finish a job in 18 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Saanvi can finish a job in 4 days and Dev in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Sneha can finish a job in 15 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. =

Answer key

  1. 23/51
  2. 63/8
  3. 4
  4. 323/36
  5. 110/21
  6. 65/18
  7. 5
  8. 48
  9. 18/11
  10. 6
  11. 136/25
  12. 70/19
  13. 17/70
  14. 6
  15. 22/13
  16. 12
  17. 36
  18. 108/323
  19. 112/15
  20. 105/22
  21. 48
  22. 19/90
  23. 16
  24. 4/3
  25. 30/7
  26. 36/13
  27. 19/60
  28. 26/165
  29. 6
  30. 32
  31. 45
  32. 29/68
  33. 60
  34. 15/4
  35. 111/340
  36. 33
  37. 12/7
  38. 25/63
  39. 11/36
  40. 90/11

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