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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 95 · 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 20 days and Manav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Pooja and Aarav together finish a job in 5 days. Pooja alone takes 30 days. How many days would Aarav take alone?
  3. 3.Pooja can finish a job in 6 days and Dev in 21 days. Pooja works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  4. 4.Aditya can finish a job in 5 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Nisha can finish a job in 5 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Vivaan and Aditya together finish a job in 8 days. Vivaan alone takes 16 days. How many days would Aditya take alone?
  7. 7.Diya and Pooja together finish a job in 2 days. Diya alone takes 3 days. How many days would Pooja take alone?
  8. 8.Kavya works three times as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
  9. 9.Rahul works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  10. 10.Arjun and Dev together finish a job in 2 days. Arjun alone takes 3 days. How many days would Dev take alone?
  11. 11.Farhan and Aarav together finish a job in 8 days. Farhan alone takes 12 days. How many days would Aarav take alone?
  12. 12.Nisha can finish a job in 11 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 17 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Sneha and Manav together finish a job in 2 days. Sneha alone takes 4 days. How many days would Manav take alone?
  15. 15.Saanvi can finish a job in 4 days and Ananya in 26 days. Saanvi works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  16. 16.Manav works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  17. 17.Rahul can finish a job in 16 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Rahul works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  19. 19.Rohan and Ananya together finish a job in 6 days. Rohan alone takes 7 days. How many days would Ananya take alone?
  20. 20.Meera can finish a job in 19 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Farhan and Dev together finish a job in 5 days. Farhan alone takes 10 days. How many days would Dev take alone?
  22. 22.Zoya can finish a job in 15 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Dev can finish a job in 6 days and Manav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Arjun works three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  25. 25.Arjun can finish a job in 5 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Tara works twice as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  27. 27.Meera can finish a job in 10 days and Saanvi in 25 days. Meera works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  28. 28.Priya can finish a job in 13 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Rohan can finish a job in 14 days and Nisha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Tara can finish a job in 5 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rohan can finish a job in 18 days and Tara in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Vivaan and Isha together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Isha take alone?
  33. 33.Rahul and Rohan together finish a job in 2 days. Rahul alone takes 3 days. How many days would Rohan take alone?
  34. 34.Zoya works twice as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
  35. 35.Zoya can finish a job in 10 days and Arjun in 24 days. Zoya works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  36. 36.Meera and Arjun together finish a job in 2 days. Meera alone takes 3 days. How many days would Arjun take alone?
  37. 37.Dev and Rohan together finish a job in 3 days. Dev alone takes 4 days. How many days would Rohan take alone?
  38. 38.Priya can finish a job in 7 days and Tara in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aditya works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  40. 40.Diya can finish a job in 14 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 37/170
  2. 6
  3. 7
  4. 80/21
  5. 9/10
  6. 16
  7. 6
  8. 20
  9. 12
  10. 6
  11. 24
  12. 44/15
  13. 51/20
  14. 4
  15. 13
  16. 24
  17. 15/56
  18. 27
  19. 42
  20. 25/114
  21. 10
  22. 195/28
  23. 25/57
  24. 8
  25. 40/13
  26. 24
  27. 5
  28. 208/29
  29. 56/11
  30. 13/40
  31. 13/72
  32. 6
  33. 6
  34. 33
  35. 12
  36. 6
  37. 12
  38. 105/22
  39. 16
  40. 112/15

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