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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 212 · 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.Kavya and Vivaan together finish a job in 9 days. Kavya alone takes 12 days. How many days would Vivaan take alone?
  2. 2.Kabir works twice as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  3. 3.Farhan can finish a job in 14 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Tara works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  5. 5.Kavya can finish a job in 15 days and Karan in 9 days. Kavya works alone for 10 days and then stops. Karan finishes the rest. How many days does Karan take?
  6. 6.Rahul can finish a job in 6 days and Tara in 18 days. Rahul works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  7. 7.Saanvi can finish a job in 3 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Tara can finish a job in 5 days and Karan in 10 days. Tara works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  9. 9.Manav can finish a job in 4 days and Tara in 12 days. Manav works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  10. 10.Isha can finish a job in 6 days and Kavya in 8 days. Isha works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  11. 11.Priya and Ishaan together finish a job in 3 days. Priya alone takes 4 days. How many days would Ishaan take alone?
  12. 12.Aarav can finish a job in 24 days and Karan in 4 days. Aarav works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  13. 13.Kavya can finish a job in 8 days and Ananya in 10 days. Kavya works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  14. 14.Diya can finish a job in 4 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Aarav can finish a job in 20 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Meera and Dev together finish a job in 5 days. Meera alone takes 6 days. How many days would Dev take alone?
  17. 17.Isha can finish a job in 8 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Isha works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  19. 19.Rahul can finish a job in 11 days and Tara in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Meera can finish a job in 18 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Priya works three times as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  22. 22.Ishaan can finish a job in 10 days and Saanvi in 15 days. Ishaan works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  23. 23.Diya and Saanvi together finish a job in 5 days. Diya alone takes 30 days. How many days would Saanvi take alone?
  24. 24.Zoya and Sneha together finish a job in 14 days. Zoya alone takes 21 days. How many days would Sneha take alone?
  25. 25.Tara and Ananya together finish a job in 2 days. Tara alone takes 4 days. How many days would Ananya take alone?
  26. 26.Tara can finish a job in 15 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Rohan works twice as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
  28. 28.Saanvi works twice as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  29. 29.Diya and Nisha together finish a job in 15 days. Diya alone takes 30 days. How many days would Nisha take alone?
  30. 30.Meera and Nisha together finish a job in 6 days. Meera alone takes 8 days. How many days would Nisha take alone?
  31. 31.Pooja can finish a job in 4 days and Karan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Ananya and Diya together finish a job in 4 days. Ananya alone takes 5 days. How many days would Diya take alone?
  33. 33.Saanvi works twice as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  34. 34.Zoya can finish a job in 14 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Nisha and Aditya together finish a job in 4 days. Nisha alone takes 20 days. How many days would Aditya take alone?
  36. 36.Saanvi can finish a job in 6 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kavya works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  38. 38.Karan can finish a job in 20 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ishaan works twice as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  40. 40.Kavya can finish a job in 2 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 36
  2. 30
  3. 210/29
  4. 12
  5. 3
  6. 6
  7. 51/20
  8. 8
  9. 9
  10. 4
  11. 12
  12. 3
  13. 5
  14. 19/30
  15. 7/60
  16. 30
  17. 136/25
  18. 16
  19. 16/55
  20. 306/35
  21. 12
  22. 6
  23. 6
  24. 42
  25. 4
  26. 8/45
  27. 6
  28. 27
  29. 30
  30. 24
  31. 36/11
  32. 20
  33. 36
  34. 42/17
  35. 5
  36. 66/17
  37. 16
  38. 260/33
  39. 36
  40. 22/13

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