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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 83 · 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 can finish a job in 20 days and Isha in 10 days. Aarav works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  2. 2.Arjun can finish a job in 10 days and Diya in 18 days. Arjun works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  3. 3.Priya can finish a job in 18 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aditya works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  5. 5.Karan works twice as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  6. 6.Ishaan can finish a job in 4 days and Arjun in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya can finish a job in 25 days and Kabir in 10 days. Diya works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  8. 8.Pooja can finish a job in 18 days and Ananya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ishaan can finish a job in 16 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Ananya works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  11. 11.Diya and Aditya together finish a job in 6 days. Diya alone takes 7 days. How many days would Aditya take alone?
  12. 12.Zoya works three times as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
  13. 13.Vivaan can finish a job in 4 days and Priya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Nisha and Rahul together finish a job in 15 days. Nisha alone takes 18 days. How many days would Rahul take alone?
  15. 15.Kabir and Karan together finish a job in 8 days. Kabir alone takes 12 days. How many days would Karan take alone?
  16. 16.Aarav can finish a job in 4 days and Priya in 12 days. Aarav works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  17. 17.Ishaan can finish a job in 28 days and Rohan in 21 days. Ishaan works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  18. 18.Ishaan can finish a job in 10 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Isha and Ananya together finish a job in 6 days. Isha alone takes 10 days. How many days would Ananya take alone?
  20. 20.Zoya can finish a job in 8 days and Pooja in 12 days. Zoya works alone for 6 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  21. 21.Sneha can finish a job in 6 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Farhan can finish a job in 16 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Aarav 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. =
  24. 24.Sneha can finish a job in 7 days and Vivaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Vivaan can finish a job in 20 days and Priya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Rohan can finish a job in 17 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Ananya can finish a job in 5 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Dev can finish a job in 6 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Farhan and Kavya together finish a job in 2 days. Farhan alone takes 6 days. How many days would Kavya take alone?
  30. 30.Rohan can finish a job in 13 days and Ishaan in 20 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 4 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Manav can finish a job in 5 days and Ananya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Kabir can finish a job in 2 days and Aditya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan and Tara together finish a job in 8 days. Rohan alone takes 24 days. How many days would Tara take alone?
  35. 35.Sneha works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  36. 36.Sneha can finish a job in 4 days and Isha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Isha can finish a job in 11 days and Kabir in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aditya and Zoya together finish a job in 13 days. Aditya alone takes 26 days. How many days would Zoya take alone?
  39. 39.Kabir can finish a job in 15 days and Meera in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Vivaan and Manav together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Manav take alone?

Answer key

  1. 9
  2. 9
  3. 6
  4. 9
  5. 12
  6. 36/11
  7. 4
  8. 72/13
  9. 63/80
  10. 28
  11. 42
  12. 40
  13. 9/28
  14. 90
  15. 24
  16. 9
  17. 18
  18. 9/20
  19. 15
  20. 3
  21. 7/24
  22. 21/40
  23. 30/13
  24. 56/15
  25. 29/180
  26. 23/102
  27. 10/3
  28. 2/3
  29. 3
  30. 260/33
  31. 11/36
  32. 72/95
  33. 7/4
  34. 12
  35. 33
  36. 3/4
  37. 176/27
  38. 26
  39. 19/30
  40. 12

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