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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 352 · 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.Rahul can finish a job in 8 days and Kabir in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Saanvi and Karan together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Karan take alone?
  3. 3.Tara can finish a job in 7 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. =
  4. 4.Priya can finish a job in 18 days and Isha in 8 days. Priya works alone for 9 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Rahul can finish a job in 10 days and Saanvi in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Diya works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  7. 7.Nisha can finish a job in 6 days and Rahul in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Kabir can finish a job in 10 days and Priya in 20 days. Kabir works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  9. 9.Priya and Pooja together finish a job in 2 days. Priya alone takes 3 days. How many days would Pooja take alone?
  10. 10.Aditya can finish a job in 18 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Isha can finish a job in 19 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Meera works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  13. 13.Isha works three times as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  14. 14.Aarav can finish a job in 14 days and Diya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Meera works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  16. 16.Saanvi can finish a job in 4 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ananya and Aarav together finish a job in 4 days. Ananya alone takes 8 days. How many days would Aarav take alone?
  18. 18.Kabir can finish a job in 2 days and Sneha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Aditya can finish a job in 11 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Rahul can finish a job in 4 days and Farhan in 28 days. Rahul works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  21. 21.Arjun can finish a job in 9 days and Karan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Tara works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  23. 23.Vivaan can finish a job in 6 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Manav can finish a job in 14 days and Kavya in 4 days. Manav works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  25. 25.Vivaan can finish a job in 2 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Diya can finish a job in 8 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Diya 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. =
  28. 28.Saanvi can finish a job in 10 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Pooja and Rohan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Rohan take alone?
  30. 30.Manav can finish a job in 11 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rahul and Diya together finish a job in 2 days. Rahul alone takes 3 days. How many days would Diya take alone?
  32. 32.Meera and Sneha together finish a job in 6 days. Meera alone takes 9 days. How many days would Sneha take alone?
  33. 33.Farhan can finish a job in 5 days and Pooja in 30 days. Farhan works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  34. 34.Manav can finish a job in 5 days and Isha in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Aditya can finish a job in 16 days and Sneha in 8 days. Aditya works alone for 14 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  36. 36.Meera can finish a job in 11 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Meera can finish a job in 8 days and Isha in 24 days. Meera works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  38. 38.Arjun can finish a job in 10 days and Farhan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Dev and Nisha together finish a job in 8 days. Dev alone takes 10 days. How many days would Nisha take alone?
  40. 40.Dev can finish a job in 8 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 88/19
  2. 6
  3. 126/25
  4. 4
  5. 20/7
  6. 33
  7. 25/57
  8. 18
  9. 6
  10. 25/42
  11. 57/22
  12. 6
  13. 40
  14. 31/119
  15. 36
  16. 36/11
  17. 8
  18. 30/17
  19. 27/88
  20. 14
  21. 28/171
  22. 12
  23. 18/5
  24. 2
  25. 6/5
  26. 40/13
  27. 70/19
  28. 23/65
  29. 6
  30. 187/28
  31. 6
  32. 18
  33. 18
  34. 17/30
  35. 1
  36. 15/44
  37. 18
  38. 7/45
  39. 40
  40. 19/88

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