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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 134 · 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.Aditya can finish a job in 19 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Manav works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  3. 3.Karan can finish a job in 14 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aarav works three times as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
  5. 5.Kavya can finish a job in 4 days and Sneha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Karan and Ishaan together finish a job in 2 days. Karan alone takes 4 days. How many days would Ishaan take alone?
  7. 7.Ishaan can finish a job in 7 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Aarav can finish a job in 7 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ananya and Rohan together finish a job in 2 days. Ananya alone takes 6 days. How many days would Rohan take alone?
  10. 10.Rohan can finish a job in 11 days and Kavya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Tara can finish a job in 10 days and Manav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Diya and Rahul together finish a job in 2 days. Diya alone takes 3 days. How many days would Rahul take alone?
  13. 13.Saanvi can finish a job in 18 days and Ishaan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Tara can finish a job in 17 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Vivaan can finish a job in 15 days and Diya in 6 days. Vivaan works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  16. 16.Manav can finish a job in 6 days and Dev in 8 days. Manav works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  17. 17.Rahul and Priya together finish a job in 2 days. Rahul alone takes 3 days. How many days would Priya take alone?
  18. 18.Zoya works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  19. 19.Nisha can finish a job in 6 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kabir can finish a job in 5 days and Tara in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rahul works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  22. 22.Arjun works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  23. 23.Farhan and Ishaan together finish a job in 2 days. Farhan alone takes 4 days. How many days would Ishaan take alone?
  24. 24.Meera can finish a job in 17 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Pooja can finish a job in 10 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Tara can finish a job in 16 days and Manav in 8 days. Tara works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
  27. 27.Karan can finish a job in 7 days and Diya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Nisha can finish a job in 8 days and Karan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Dev and Sneha together finish a job in 2 days. Dev alone takes 3 days. How many days would Sneha take alone?
  30. 30.Tara can finish a job in 11 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Saanvi works three times as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  32. 32.Tara works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  33. 33.Karan works twice as fast as Arjun. Together they finish a job in 11 days. How many days would Arjun take alone?
  34. 34.Meera can finish a job in 26 days and Zoya in 13 days. Meera works alone for 16 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  35. 35.Aditya can finish a job in 9 days and Rohan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kabir can finish a job in 20 days and Rohan in 16 days. Kabir works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  37. 37.Tara can finish a job in 12 days and Kavya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ishaan can finish a job in 12 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Kabir can finish a job in 4 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Tara can finish a job in 28 days and Kabir in 20 days. Tara works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?

Answer key

  1. 76/23
  2. 6
  3. 266/33
  4. 44
  5. 20/7
  6. 4
  7. 13/14
  8. 19/28
  9. 3
  10. 88/19
  11. 90/19
  12. 6
  13. 19/90
  14. 85/22
  15. 4
  16. 4
  17. 6
  18. 20
  19. 30/11
  20. 95/24
  21. 33
  22. 27
  23. 4
  24. 56/187
  25. 21/110
  26. 4
  27. 23/56
  28. 5/8
  29. 6
  30. 176/27
  31. 44
  32. 9
  33. 33
  34. 5
  35. 153/26
  36. 4
  37. 24/5
  38. 17/20
  39. 76/23
  40. 15

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