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Time and Work Worksheet

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

Answer key

  1. 126/23
  2. 9
  3. 48/19
  4. 171/28
  5. 5/16
  6. 48/55
  7. 16
  8. 187/28
  9. 20
  10. 2
  11. 35/12
  12. 21
  13. 60/7
  14. 55/16
  15. 48
  16. 18
  17. 11/15
  18. 110/21
  19. 6
  20. 6
  21. 23/132
  22. 36
  23. 24
  24. 9
  25. 84/19
  26. 3/10
  27. 36
  28. 72
  29. 80/13
  30. 20
  31. 6
  32. 12
  33. 20
  34. 66/85
  35. 45/7
  36. 10
  37. 3
  38. 6
  39. 6
  40. 24/95

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