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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 430 · 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.Kabir can finish a job in 8 days and Rohan in 16 days. Kabir works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  2. 2.Aarav works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  3. 3.Rohan works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  4. 4.Ananya can finish a job in 8 days and Priya in 12 days. Ananya works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  5. 5.Pooja works three times as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  6. 6.Ishaan can finish a job in 18 days and Rahul in 17 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 14 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Ananya can finish a job in 17 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Manav can finish a job in 6 days and Isha in 30 days. Manav works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  10. 10.Kabir can finish a job in 15 days and Pooja in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Arjun can finish a job in 10 days and Isha in 15 days. Arjun works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  12. 12.Kavya can finish a job in 11 days and Aditya in 22 days. Kavya works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Aarav can finish a job in 4 days and Farhan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Kabir works twice as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  15. 15.Aditya can finish a job in 4 days and Rohan in 12 days. Aditya works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  16. 16.Arjun can finish a job in 13 days and Vivaan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Dev works three times as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  18. 18.Arjun and Aarav together finish a job in 18 days. Arjun alone takes 24 days. How many days would Aarav take alone?
  19. 19.Sneha can finish a job in 14 days and Priya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Aditya and Pooja together finish a job in 6 days. Aditya alone takes 8 days. How many days would Pooja take alone?
  21. 21.Kavya can finish a job in 4 days and Manav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Rohan can finish a job in 10 days and Aditya in 4 days. Rohan works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  23. 23.Ananya can finish a job in 5 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kavya can finish a job in 20 days and Saanvi in 8 days. Kavya works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  25. 25.Kavya can finish a job in 6 days and Meera in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Ishaan can finish a job in 17 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Diya works twice as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  28. 28.Tara can finish a job in 6 days and Manav in 15 days. Tara works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  29. 29.Isha can finish a job in 6 days and Kabir in 12 days. Isha works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  30. 30.Meera can finish a job in 6 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. =
  31. 31.Pooja can finish a job in 14 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Karan can finish a job in 19 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Vivaan can finish a job in 4 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Diya can finish a job in 4 days and Kabir in 6 days. Diya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  35. 35.Aditya can finish a job in 18 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Meera can finish a job in 18 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Dev and Pooja together finish a job in 10 days. Dev alone takes 14 days. How many days would Pooja take alone?
  38. 38.Dev works twice as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
  39. 39.Farhan works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  40. 40.Saanvi can finish a job in 26 days and Arjun in 13 days. Saanvi works alone for 24 days and then stops. Arjun finishes the rest. How many days does Arjun take?

Answer key

  1. 2
  2. 16
  3. 30
  4. 6
  5. 20
  6. 306/35
  7. 112/15
  8. 56/187
  9. 10
  10. 210/29
  11. 6
  12. 12
  13. 44/15
  14. 21
  15. 3
  16. 17/26
  17. 24
  18. 72
  19. 5/7
  20. 24
  21. 5/16
  22. 2
  23. 15/4
  24. 6
  25. 17/22
  26. 136/25
  27. 33
  28. 5
  29. 8
  30. 18/5
  31. 25/154
  32. 26/133
  33. 9/20
  34. 3
  35. 9/5
  36. 29/66
  37. 35
  38. 15
  39. 36
  40. 1

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