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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 488 · 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.Arjun can finish a job in 9 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. =
  2. 2.Sneha and Diya together finish a job in 10 days. Sneha alone takes 14 days. How many days would Diya take alone?
  3. 3.Aarav can finish a job in 9 days and Kabir in 18 days. Aarav works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Isha can finish a job in 9 days and Pooja in 21 days. Isha works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  5. 5.Karan can finish a job in 8 days and Ishaan in 6 days. Karan works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  6. 6.Rohan can finish a job in 20 days and Priya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Vivaan can finish a job in 5 days and Ishaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Ishaan can finish a job in 5 days and Tara in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Rohan can finish a job in 4 days and Kavya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Zoya works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  11. 11.Diya can finish a job in 7 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Farhan and Diya together finish a job in 4 days. Farhan alone takes 8 days. How many days would Diya take alone?
  13. 13.Ishaan can finish a job in 7 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. =
  14. 14.Priya can finish a job in 9 days and Meera in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Vivaan can finish a job in 14 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Vivaan can finish a job in 9 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Manav can finish a job in 9 days and Pooja in 27 days. Manav works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  18. 18.Diya can finish a job in 10 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ananya and Sneha together finish a job in 3 days. Ananya alone takes 6 days. How many days would Sneha take alone?
  20. 20.Tara can finish a job in 14 days and Rahul in 21 days. Tara works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  21. 21.Kavya and Aditya together finish a job in 5 days. Kavya alone takes 6 days. How many days would Aditya take alone?
  22. 22.Farhan works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  23. 23.Arjun can finish a job in 14 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Arjun can finish a job in 6 days and Karan in 12 days. Arjun works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  25. 25.Manav and Kabir together finish a job in 3 days. Manav alone takes 6 days. How many days would Kabir take alone?
  26. 26.Karan can finish a job in 14 days and Sneha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Pooja works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  28. 28.Aarav and Rohan together finish a job in 3 days. Aarav alone takes 6 days. How many days would Rohan take alone?
  29. 29.Manav works twice as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  30. 30.Kabir works twice as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
  31. 31.Meera can finish a job in 8 days and Aditya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Diya can finish a job in 15 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Aarav works three times as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  34. 34.Ishaan works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  35. 35.Arjun can finish a job in 7 days and Priya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Tara can finish a job in 4 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Pooja can finish a job in 5 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Isha can finish a job in 13 days and Rohan in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Pooja can finish a job in 4 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. =
  40. 40.Dev and Kavya together finish a job in 5 days. Dev alone takes 10 days. How many days would Kavya take alone?

Answer key

  1. 36/13
  2. 35
  3. 12
  4. 14
  5. 3
  6. 29/60
  7. 60/17
  8. 13/40
  9. 20/7
  10. 16
  11. 16/21
  12. 8
  13. 105/22
  14. 26/51
  15. 31/119
  16. 23/63
  17. 6
  18. 190/29
  19. 6
  20. 15
  21. 30
  22. 48
  23. 238/31
  24. 6
  25. 6
  26. 8/21
  27. 12
  28. 6
  29. 15
  30. 30
  31. 3/8
  32. 165/26
  33. 48
  34. 36
  35. 26/133
  36. 28/11
  37. 19/35
  38. 72/143
  39. 36/11
  40. 10

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