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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 262 · 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.Aarav can finish a job in 5 days and Ishaan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Arjun and Priya together finish a job in 2 days. Arjun alone takes 3 days. How many days would Priya take alone?
  3. 3.Farhan can finish a job in 19 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Meera can finish a job in 9 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Sneha works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  6. 6.Kabir and Arjun together finish a job in 4 days. Kabir alone takes 6 days. How many days would Arjun take alone?
  7. 7.Manav works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  8. 8.Farhan can finish a job in 4 days and Manav in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Isha can finish a job in 17 days and Aditya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Meera can finish a job in 16 days and Diya in 8 days. Meera works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  11. 11.Farhan can finish a job in 18 days and Diya in 24 days. Farhan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Karan can finish a job in 7 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Aarav can finish a job in 5 days and Pooja in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Zoya can finish a job in 12 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Farhan can finish a job in 14 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav can finish a job in 6 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Aarav can finish a job in 10 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Rahul and Kabir together finish a job in 2 days. Rahul alone takes 4 days. How many days would Kabir take alone?
  19. 19.Rohan works twice as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  20. 20.Zoya can finish a job in 6 days and Dev in 9 days. Zoya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  21. 21.Tara works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  22. 22.Priya can finish a job in 12 days and Dev in 8 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 8 days and Saanvi in 20 days. Meera works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  24. 24.Kavya works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  25. 25.Sneha works twice as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  26. 26.Ishaan can finish a job in 6 days and Saanvi in 24 days. Ishaan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  27. 27.Kabir works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  28. 28.Dev can finish a job in 18 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. =
  29. 29.Aditya can finish a job in 12 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Pooja can finish a job in 15 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Saanvi can finish a job in 5 days and Nisha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Arjun can finish a job in 9 days and Diya in 3 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 Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  34. 34.Tara and Zoya together finish a job in 3 days. Tara alone takes 6 days. How many days would Zoya take alone?
  35. 35.Priya works twice as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  36. 36.Farhan can finish a job in 21 days and Pooja in 18 days. Farhan works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  37. 37.Aarav and Rahul together finish a job in 4 days. Aarav alone takes 5 days. How many days would Rahul take alone?
  38. 38.Saanvi works three times as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  39. 39.Kabir can finish a job in 27 days and Sneha in 9 days. Kabir works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  40. 40.Kabir can finish a job in 20 days and Rahul in 5 days. Kabir works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?

Answer key

  1. 14/45
  2. 6
  3. 37/114
  4. 13/36
  5. 36
  6. 12
  7. 48
  8. 19/30
  9. 102/23
  10. 3
  11. 20
  12. 78/133
  13. 60/17
  14. 36/5
  15. 28/9
  16. 21/5
  17. 14/45
  18. 4
  19. 33
  20. 3
  21. 30
  22. 24/5
  23. 10
  24. 16
  25. 9
  26. 20
  27. 12
  28. 306/35
  29. 20/3
  30. 7/10
  31. 45/14
  32. 9/4
  33. 36
  34. 6
  35. 21
  36. 12
  37. 20
  38. 32
  39. 7
  40. 4

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