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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 46 · 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.Aarav works three times as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  2. 2.Aditya and Rohan together finish a job in 4 days. Aditya alone takes 8 days. How many days would Rohan take alone?
  3. 3.Kavya can finish a job in 17 days and Vivaan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Karan can finish a job in 14 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Saanvi can finish a job in 20 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. =
  6. 6.Zoya can finish a job in 10 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. =
  7. 7.Rahul and Vivaan together finish a job in 2 days. Rahul alone takes 3 days. How many days would Vivaan take alone?
  8. 8.Priya can finish a job in 7 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Manav can finish a job in 20 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Rohan works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  11. 11.Ananya can finish a job in 9 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Kabir can finish a job in 8 days and Rohan in 20 days. Kabir works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  13. 13.Ananya can finish a job in 10 days and Farhan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Karan and Arjun together finish a job in 2 days. Karan alone takes 6 days. How many days would Arjun take alone?
  15. 15.Zoya can finish a job in 8 days and Kabir in 12 days. Zoya works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  16. 16.Dev works three times as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  17. 17.Zoya can finish a job in 11 days and Nisha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Manav can finish a job in 13 days and Farhan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ishaan can finish a job in 15 days and Aditya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Zoya can finish a job in 4 days and Meera in 6 days. Zoya works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  21. 21.Rohan works twice as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  22. 22.Meera can finish a job in 7 days and Priya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Tara can finish a job in 16 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Diya and Manav together finish a job in 6 days. Diya alone takes 8 days. How many days would Manav take alone?
  25. 25.Aarav can finish a job in 13 days and Zoya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Ishaan can finish a job in 18 days and Aditya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Isha can finish a job in 8 days and Ananya in 12 days. Isha works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  28. 28.Manav can finish a job in 15 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kavya can finish a job in 7 days and Dev in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Isha works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  31. 31.Kabir and Rahul together finish a job in 3 days. Kabir alone takes 12 days. How many days would Rahul take alone?
  32. 32.Manav can finish a job in 4 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Pooja and Aarav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Aarav take alone?
  34. 34.Aditya can finish a job in 10 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Arjun works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  36. 36.Pooja can finish a job in 8 days and Aarav in 20 days. Pooja works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  37. 37.Diya can finish a job in 14 days and Karan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Dev and Diya together finish a job in 2 days. Dev alone takes 4 days. How many days would Diya take alone?
  39. 39.Ananya can finish a job in 28 days and Priya in 14 days. Ananya works alone for 8 days and then stops. Priya finishes the rest. How many days does Priya take?
  40. 40.Isha can finish a job in 11 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 8
  2. 8
  3. 33/272
  4. 19/35
  5. 340/37
  6. 6
  7. 6
  8. 48/119
  9. 3/20
  10. 16
  11. 16/63
  12. 5
  13. 21/55
  14. 3
  15. 3
  16. 28
  17. 154/25
  18. 130/23
  19. 1/2
  20. 3
  21. 30
  22. 22/105
  23. 17/48
  24. 24
  25. 28/195
  26. 11/90
  27. 6
  28. 45/8
  29. 36/77
  30. 36
  31. 4
  32. 12/5
  33. 6
  34. 1/6
  35. 24
  36. 5
  37. 140/17
  38. 4
  39. 10
  40. 22/13

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