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Time and Work Worksheet

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

Answer key

  1. 6
  2. 90
  3. 12
  4. 39/80
  5. 39/16
  6. 90/19
  7. 9
  8. 30/13
  9. 63/16
  10. 12
  11. 6
  12. 48
  13. 32
  14. 36/65
  15. 228/31
  16. 15
  17. 19/20
  18. 9
  19. 6
  20. 3/8
  21. 14
  22. 3
  23. 3/8
  24. 36
  25. 285/34
  26. 31/114
  27. 12
  28. 18/35
  29. 6
  30. 52/133
  31. 24/5
  32. 2
  33. 72/13
  34. 4
  35. 6
  36. 8/5
  37. 6
  38. 165/26
  39. 6
  40. 170/27

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