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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 188 · 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.Ananya can finish a job in 10 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Aditya and Arjun together finish a job in 2 days. Aditya alone takes 6 days. How many days would Arjun take alone?
  3. 3.Rohan can finish a job in 16 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kavya and Priya together finish a job in 8 days. Kavya alone takes 9 days. How many days would Priya take alone?
  5. 5.Nisha can finish a job in 5 days and Sneha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Tara can finish a job in 3 days and Ananya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Kavya can finish a job in 7 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Ananya and Saanvi together finish a job in 2 days. Ananya alone takes 6 days. How many days would Saanvi take alone?
  9. 9.Farhan can finish a job in 12 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Tara can finish a job in 15 days and Meera in 21 days. Tara works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  11. 11.Tara can finish a job in 6 days and Priya in 27 days. Tara works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  12. 12.Diya works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  13. 13.Priya can finish a job in 19 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Dev can finish a job in 8 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Rahul can finish a job in 4 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Sneha can finish a job in 8 days and Aarav in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Kavya can finish a job in 8 days and Isha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Vivaan can finish a job in 4 days and Saanvi in 20 days. Vivaan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  19. 19.Karan can finish a job in 4 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Pooja can finish a job in 4 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Meera can finish a job in 13 days and Aarav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Ishaan can finish a job in 16 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Diya and Kavya together finish a job in 2 days. Diya alone takes 6 days. How many days would Kavya take alone?
  24. 24.Sneha and Kabir together finish a job in 3 days. Sneha alone takes 12 days. How many days would Kabir take alone?
  25. 25.Aarav can finish a job in 7 days and Nisha in 28 days. Aarav works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  26. 26.Farhan can finish a job in 18 days and Kavya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Kavya can finish a job in 10 days and Tara in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Pooja can finish a job in 3 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Saanvi can finish a job in 5 days and Rohan in 15 days. Saanvi works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  30. 30.Ananya can finish a job in 20 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Zoya can finish a job in 11 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Meera can finish a job in 12 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Meera can finish a job in 4 days and Diya in 22 days. Meera works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  34. 34.Pooja works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  35. 35.Kavya can finish a job in 5 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Dev and Tara together finish a job in 3 days. Dev alone takes 6 days. How many days would Tara take alone?
  37. 37.Aarav can finish a job in 8 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Sneha works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  39. 39.Arjun and Manav together finish a job in 2 days. Arjun alone takes 3 days. How many days would Manav take alone?
  40. 40.Kabir can finish a job in 6 days and Manav in 24 days. Kabir works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?

Answer key

  1. 170/27
  2. 3
  3. 144/25
  4. 72
  5. 70/19
  6. 12/5
  7. 13/42
  8. 3
  9. 12/7
  10. 7
  11. 9
  12. 9
  13. 285/34
  14. 21/40
  15. 28/9
  16. 21/104
  17. 7/24
  18. 15
  19. 5/12
  20. 19/60
  21. 247/32
  22. 17/72
  23. 3
  24. 4
  25. 24
  26. 2/3
  27. 18/35
  28. 30/13
  29. 6
  30. 80/9
  31. 19/88
  32. 13/42
  33. 11
  34. 48
  35. 10/7
  36. 6
  37. 24/5
  38. 12
  39. 6
  40. 8

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