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Time and Work Worksheet

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

Answer key

  1. 153/26
  2. 24
  3. 11/90
  4. 20
  5. 5
  6. 42/13
  7. 20
  8. 42
  9. 8/5
  10. 20
  11. 12
  12. 18
  13. 15
  14. 6
  15. 12/7
  16. 9
  17. 10
  18. 13/21
  19. 9
  20. 5
  21. 6
  22. 32
  23. 9/2
  24. 45/7
  25. 20
  26. 44
  27. 72
  28. 42
  29. 4
  30. 7
  31. 36
  32. 72
  33. 143/24
  34. 13/40
  35. 20/11
  36. 24
  37. 20
  38. 16
  39. 4
  40. 2

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