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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 158 · 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 and Meera together finish a job in 2 days. Ananya alone takes 4 days. How many days would Meera take alone?
  2. 2.Sneha can finish a job in 15 days and Pooja in 30 days. Sneha works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  3. 3.Ishaan can finish a job in 18 days and Priya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Ananya and Kabir together finish a job in 6 days. Ananya alone takes 8 days. How many days would Kabir take alone?
  5. 5.Diya can finish a job in 7 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rahul and Ishaan together finish a job in 6 days. Rahul alone takes 7 days. How many days would Ishaan take alone?
  7. 7.Meera can finish a job in 19 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Priya can finish a job in 4 days and Kavya in 6 days. Priya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  9. 9.Nisha can finish a job in 12 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Sneha and Arjun together finish a job in 6 days. Sneha alone takes 24 days. How many days would Arjun take alone?
  11. 11.Ishaan and Pooja together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Pooja take alone?
  12. 12.Sneha works twice as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  13. 13.Saanvi can finish a job in 4 days and Manav in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Kavya and Farhan together finish a job in 2 days. Kavya alone takes 3 days. How many days would Farhan take alone?
  15. 15.Kabir can finish a job in 9 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Arjun can finish a job in 18 days and Diya in 6 days. Arjun works alone for 9 days and then stops. Diya finishes the rest. How many days does Diya take?
  17. 17.Ananya can finish a job in 4 days and Arjun in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Isha and Rahul together finish a job in 9 days. Isha alone takes 10 days. How many days would Rahul take alone?
  19. 19.Arjun can finish a job in 16 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Pooja can finish a job in 19 days and Priya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Kabir can finish a job in 10 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Farhan can finish a job in 8 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Aditya works three times as fast as Diya. Together they finish a job in 8 days. How many days would Diya take alone?
  24. 24.Rahul and Diya together finish a job in 2 days. Rahul alone takes 4 days. How many days would Diya take alone?
  25. 25.Kabir can finish a job in 6 days and Priya in 27 days. Kabir works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  26. 26.Isha can finish a job in 3 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Aditya can finish a job in 20 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav works three times as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  29. 29.Zoya works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  30. 30.Vivaan can finish a job in 5 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Kabir can finish a job in 10 days and Manav in 5 days. Kabir works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  32. 32.Pooja and Farhan together finish a job in 3 days. Pooja alone takes 4 days. How many days would Farhan take alone?
  33. 33.Sneha can finish a job in 28 days and Isha in 8 days. Sneha works alone for 14 days and then stops. Isha finishes the rest. How many days does Isha take?
  34. 34.Aditya can finish a job in 19 days and Priya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Nisha works twice as fast as Tara. Together they finish a job in 8 days. How many days would Tara take alone?
  36. 36.Diya and Arjun together finish a job in 6 days. Diya alone takes 10 days. How many days would Arjun take alone?
  37. 37.Arjun can finish a job in 7 days and Saanvi in 14 days. Arjun works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  38. 38.Rohan can finish a job in 20 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Pooja can finish a job in 15 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aarav can finish a job in 30 days and Ananya in 15 days. Aarav works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?

Answer key

  1. 4
  2. 16
  3. 35/102
  4. 24
  5. 133/26
  6. 42
  7. 24/95
  8. 3
  9. 13/42
  10. 8
  11. 12
  12. 12
  13. 3/10
  14. 6
  15. 9/4
  16. 3
  17. 36/13
  18. 90
  19. 16/9
  20. 37/114
  21. 9/20
  22. 25/136
  23. 32
  24. 4
  25. 9
  26. 57/22
  27. 4
  28. 16
  29. 20
  30. 85/22
  31. 4
  32. 12
  33. 4
  34. 99/266
  35. 24
  36. 15
  37. 12
  38. 220/31
  39. 15/4
  40. 14

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