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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 360 · 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.Diya works twice as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  2. 2.Manav and Diya together finish a job in 12 days. Manav alone takes 14 days. How many days would Diya take alone?
  3. 3.Meera works three times as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  4. 4.Ananya can finish a job in 18 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. =
  5. 5.Ananya and Dev together finish a job in 3 days. Ananya alone takes 12 days. How many days would Dev take alone?
  6. 6.Rohan can finish a job in 7 days and Diya in 21 days. Rohan works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Isha works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  8. 8.Aarav works twice as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  9. 9.Ishaan can finish a job in 4 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Arjun can finish a job in 16 days and Kabir in 28 days. Arjun works alone for 12 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  11. 11.Diya can finish a job in 28 days and Aarav in 20 days. Diya works alone for 14 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  12. 12.Rohan works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  13. 13.Aditya can finish a job in 11 days and Ishaan in 22 days. Aditya works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  14. 14.Aditya can finish a job in 17 days and Diya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Dev can finish a job in 14 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Ananya works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  17. 17.Tara can finish a job in 7 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. =
  18. 18.Farhan works twice as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  19. 19.Tara can finish a job in 17 days and Manav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Kavya works three times as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  21. 21.Manav can finish a job in 3 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. =
  22. 22.Priya and Ananya together finish a job in 7 days. Priya alone takes 14 days. How many days would Ananya take alone?
  23. 23.Tara works twice as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  24. 24.Kavya works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  25. 25.Kavya can finish a job in 3 days and Pooja in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Arjun can finish a job in 6 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Tara can finish a job in 7 days and Isha in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Manav works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  29. 29.Farhan works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  30. 30.Kabir can finish a job in 17 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Zoya and Kavya together finish a job in 3 days. Zoya alone takes 4 days. How many days would Kavya take alone?
  32. 32.Sneha can finish a job in 14 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Saanvi can finish a job in 6 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aarav can finish a job in 4 days and Isha in 20 days. Aarav works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
  35. 35.Pooja and Rahul together finish a job in 4 days. Pooja alone takes 6 days. How many days would Rahul take alone?
  36. 36.Rohan and Priya together finish a job in 4 days. Rohan alone takes 5 days. How many days would Priya take alone?
  37. 37.Aarav can finish a job in 8 days and Pooja in 24 days. Aarav works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  38. 38.Kavya can finish a job in 7 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Priya 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. =
  40. 40.Vivaan can finish a job in 12 days and Kabir in 24 days. Vivaan works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?

Answer key

  1. 6
  2. 84
  3. 24
  4. 198/29
  5. 4
  6. 18
  7. 8
  8. 6
  9. 9/28
  10. 7
  11. 10
  12. 33
  13. 16
  14. 22/85
  15. 182/27
  16. 12
  17. 70/17
  18. 6
  19. 23/51
  20. 40
  21. 12/5
  22. 14
  23. 30
  24. 21
  25. 57/22
  26. 30/7
  27. 44/105
  28. 6
  29. 36
  30. 51/20
  31. 12
  32. 56/11
  33. 2
  34. 15
  35. 12
  36. 20
  37. 3
  38. 11/14
  39. 44/15
  40. 22

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