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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 229 · 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.Isha can finish a job in 10 days and Karan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Diya can finish a job in 6 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Saanvi and Dev together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Dev take alone?
  4. 4.Ananya can finish a job in 4 days and Aarav in 20 days. Ananya works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  5. 5.Zoya can finish a job in 5 days and Saanvi in 15 days. Zoya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  6. 6.Manav and Diya together finish a job in 7 days. Manav alone takes 8 days. How many days would Diya take alone?
  7. 7.Pooja and Zoya together finish a job in 6 days. Pooja alone takes 12 days. How many days would Zoya take alone?
  8. 8.Kabir can finish a job in 18 days and Ananya in 14 days. Kabir works alone for 9 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  9. 9.Sneha works three times as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  10. 10.Aarav can finish a job in 5 days and Sneha in 10 days. Aarav works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  11. 11.Vivaan and Rohan together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Rohan take alone?
  12. 12.Manav can finish a job in 11 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Vivaan can finish a job in 7 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Priya works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  15. 15.Arjun works three times as fast as Sneha. Together they finish a job in 7 days. How many days would Sneha take alone?
  16. 16.Kavya can finish a job in 17 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Kavya works three times as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  18. 18.Farhan and Kabir together finish a job in 5 days. Farhan alone takes 6 days. How many days would Kabir take alone?
  19. 19.Karan works three times as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  20. 20.Ananya can finish a job in 8 days and Saanvi in 20 days. Ananya works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  21. 21.Zoya can finish a job in 14 days and Arjun in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Pooja can finish a job in 5 days and Tara in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Ananya and Aarav together finish a job in 3 days. Ananya alone takes 4 days. How many days would Aarav take alone?
  24. 24.Sneha can finish a job in 6 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Kavya and Arjun together finish a job in 10 days. Kavya alone takes 12 days. How many days would Arjun take alone?
  26. 26.Farhan can finish a job in 8 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Priya works three times as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  28. 28.Manav can finish a job in 6 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Nisha works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  30. 30.Karan can finish a job in 7 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Aditya works three times as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  32. 32.Diya can finish a job in 6 days and Priya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Priya works twice as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  34. 34.Kabir can finish a job in 15 days and Nisha in 5 days. Kabir works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  35. 35.Tara can finish a job in 4 days and Sneha in 28 days. Tara works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  36. 36.Tara works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  37. 37.Rohan can finish a job in 19 days and Pooja in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ananya can finish a job in 10 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. =
  39. 39.Kavya works three times as fast as Tara. Together they finish a job in 8 days. How many days would Tara take alone?
  40. 40.Farhan can finish a job in 12 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 7/20
  2. 5/21
  3. 4
  4. 15
  5. 6
  6. 56
  7. 12
  8. 7
  9. 36
  10. 4
  11. 6
  12. 26/165
  13. 119/24
  14. 12
  15. 28
  16. 27/170
  17. 44
  18. 30
  19. 32
  20. 15
  21. 31/238
  22. 17/30
  23. 12
  24. 5/7
  25. 60
  26. 5/24
  27. 20
  28. 9/2
  29. 24
  30. 56/15
  31. 32
  32. 17/66
  33. 12
  34. 4
  35. 14
  36. 18
  37. 171/28
  38. 90/19
  39. 32
  40. 25/78

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