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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 439 · 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.Pooja and Priya together finish a job in 6 days. Pooja alone takes 15 days. How many days would Priya take alone?
  2. 2.Meera and Pooja together finish a job in 6 days. Meera alone takes 7 days. How many days would Pooja take alone?
  3. 3.Karan can finish a job in 12 days and Sneha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Kabir works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  5. 5.Manav can finish a job in 5 days and Tara in 25 days. Manav works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  6. 6.Dev and Rohan together finish a job in 6 days. Dev alone takes 7 days. How many days would Rohan take alone?
  7. 7.Dev can finish a job in 16 days and Isha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Zoya can finish a job in 26 days and Isha in 13 days. Zoya works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  9. 9.Pooja and Priya together finish a job in 5 days. Pooja alone takes 10 days. How many days would Priya take alone?
  10. 10.Aarav and Priya together finish a job in 3 days. Aarav alone takes 6 days. How many days would Priya take alone?
  11. 11.Farhan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  12. 12.Meera and Kabir together finish a job in 2 days. Meera alone takes 3 days. How many days would Kabir take alone?
  13. 13.Diya can finish a job in 12 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Manav can finish a job in 10 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Nisha works twice as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
  16. 16.Kabir and Arjun together finish a job in 2 days. Kabir alone takes 4 days. How many days would Arjun take alone?
  17. 17.Aarav can finish a job in 28 days and Saanvi in 20 days. Aarav works alone for 14 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  18. 18.Ananya can finish a job in 9 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kavya can finish a job in 7 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Tara can finish a job in 15 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Dev can finish a job in 6 days and Isha in 24 days. Dev works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  22. 22.Nisha can finish a job in 24 days and Priya in 26 days. Nisha works alone for 12 days and then stops. Priya finishes the rest. How many days does Priya take?
  23. 23.Nisha can finish a job in 7 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Dev can finish a job in 26 days and Kavya in 13 days. Dev works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  25. 25.Kavya works three times as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  26. 26.Manav and Kabir together finish a job in 12 days. Manav alone takes 18 days. How many days would Kabir take alone?
  27. 27.Aditya works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  28. 28.Kabir can finish a job in 16 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Farhan and Rahul together finish a job in 2 days. Farhan alone takes 3 days. How many days would Rahul take alone?
  30. 30.Kavya can finish a job in 30 days and Arjun in 15 days. Kavya works alone for 28 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Meera can finish a job in 24 days and Pooja in 16 days. Meera works alone for 9 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  32. 32.Pooja can finish a job in 6 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Meera and Ananya together finish a job in 6 days. Meera alone takes 9 days. How many days would Ananya take alone?
  34. 34.Vivaan and Rahul together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Rahul take alone?
  35. 35.Aarav can finish a job in 3 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Priya can finish a job in 15 days and Arjun in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Manav can finish a job in 6 days and Dev in 21 days. Manav works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  38. 38.Manav can finish a job in 11 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Ishaan can finish a job in 7 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Arjun works three times as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?

Answer key

  1. 10
  2. 42
  3. 11/20
  4. 15
  5. 20
  6. 42
  7. 48/19
  8. 10
  9. 10
  10. 6
  11. 12
  12. 6
  13. 11/30
  14. 1/6
  15. 27
  16. 4
  17. 10
  18. 9/4
  19. 133/26
  20. 7/20
  21. 8
  22. 13
  23. 126/25
  24. 10
  25. 24
  26. 36
  27. 40
  28. 16/3
  29. 6
  30. 1
  31. 10
  32. 30/7
  33. 18
  34. 6
  35. 21/10
  36. 29/210
  37. 7
  38. 63/110
  39. 91/20
  40. 36

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