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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 41 · 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.Rohan can finish a job in 9 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Sneha works three times as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  3. 3.Aarav works twice as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  4. 4.Kavya and Ishaan together finish a job in 12 days. Kavya alone takes 15 days. How many days would Ishaan take alone?
  5. 5.Aditya can finish a job in 18 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Isha and Ananya together finish a job in 2 days. Isha alone takes 4 days. How many days would Ananya take alone?
  7. 7.Diya can finish a job in 24 days and Sneha in 16 days. Diya works alone for 15 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  8. 8.Rahul can finish a job in 14 days and Ishaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Manav can finish a job in 4 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Dev can finish a job in 17 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Aarav and Kabir together finish a job in 21 days. Aarav alone takes 28 days. How many days would Kabir take alone?
  12. 12.Aditya can finish a job in 20 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aarav can finish a job in 5 days and Ananya in 25 days. Aarav works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  14. 14.Kabir can finish a job in 6 days and Ananya in 18 days. Kabir works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  15. 15.Ishaan and Rahul together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Rahul take alone?
  16. 16.Saanvi can finish a job in 8 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Priya works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  18. 18.Diya and Ananya together finish a job in 2 days. Diya alone takes 3 days. How many days would Ananya take alone?
  19. 19.Kavya and Ananya together finish a job in 5 days. Kavya alone takes 6 days. How many days would Ananya take alone?
  20. 20.Kabir can finish a job in 10 days and Manav in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Saanvi can finish a job in 17 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Vivaan can finish a job in 11 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kabir can finish a job in 4 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Ananya can finish a job in 17 days and Karan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Arjun can finish a job in 20 days and Priya in 10 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 12 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. =
  27. 27.Nisha can finish a job in 10 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Arjun and Aditya together finish a job in 2 days. Arjun alone takes 4 days. How many days would Aditya take alone?
  29. 29.Meera works three times as fast as Diya. Together they finish a job in 8 days. How many days would Diya take alone?
  30. 30.Kabir can finish a job in 17 days and Vivaan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Zoya works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  32. 32.Rohan can finish a job in 19 days and Diya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Kabir and Rahul together finish a job in 6 days. Kabir alone takes 8 days. How many days would Rahul take alone?
  34. 34.Saanvi can finish a job in 9 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Manav and Aditya together finish a job in 15 days. Manav alone takes 24 days. How many days would Aditya take alone?
  36. 36.Kavya and Rahul together finish a job in 2 days. Kavya alone takes 6 days. How many days would Rahul take alone?
  37. 37.Arjun works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  38. 38.Zoya can finish a job in 20 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. =
  39. 39.Aarav and Manav together finish a job in 12 days. Aarav alone takes 30 days. How many days would Manav take alone?
  40. 40.Diya works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?

Answer key

  1. 36/13
  2. 48
  3. 6
  4. 60
  5. 72/13
  6. 4
  7. 6
  8. 112/15
  9. 4/3
  10. 90/221
  11. 84
  12. 180/19
  13. 15
  14. 6
  15. 30
  16. 33/56
  17. 18
  18. 6
  19. 30
  20. 11/30
  21. 31/119
  22. 55/16
  23. 2/3
  24. 72/119
  25. 20/3
  26. 20/3
  27. 20/7
  28. 4
  29. 32
  30. 37/340
  31. 48
  32. 28/171
  33. 24
  34. 63/16
  35. 40
  36. 3
  37. 15
  38. 60/23
  39. 20
  40. 30

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