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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 496 · 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.Sneha and Priya together finish a job in 4 days. Sneha alone takes 6 days. How many days would Priya take alone?
  2. 2.Diya can finish a job in 20 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Arjun can finish a job in 10 days and Kabir in 30 days. Arjun works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Pooja and Dev together finish a job in 14 days. Pooja alone takes 21 days. How many days would Dev take alone?
  5. 5.Kabir and Ananya together finish a job in 15 days. Kabir alone takes 30 days. How many days would Ananya take alone?
  6. 6.Dev can finish a job in 7 days and Ishaan in 21 days. Dev works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  7. 7.Arjun can finish a job in 4 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Isha can finish a job in 8 days and Manav in 26 days. Isha works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Priya and Karan together finish a job in 2 days. Priya alone takes 3 days. How many days would Karan take alone?
  10. 10.Kabir can finish a job in 5 days and Manav in 20 days. Kabir works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  11. 11.Priya can finish a job in 13 days and Arjun in 26 days. Priya works alone for 12 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Vivaan can finish a job in 5 days and Zoya in 25 days. Vivaan works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  13. 13.Farhan can finish a job in 16 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Farhan can finish a job in 15 days and Pooja in 30 days. Farhan works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  15. 15.Priya can finish a job in 6 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Ananya works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  17. 17.Kabir can finish a job in 12 days and Meera in 30 days. Kabir works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  18. 18.Aditya can finish a job in 20 days and Diya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Dev and Ishaan together finish a job in 2 days. Dev alone takes 3 days. How many days would Ishaan take alone?
  20. 20.Dev and Pooja together finish a job in 20 days. Dev alone takes 30 days. How many days would Pooja take alone?
  21. 21.Kabir can finish a job in 11 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara can finish a job in 4 days and Nisha in 20 days. Tara works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  23. 23.Diya can finish a job in 7 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Meera and Pooja together finish a job in 6 days. Meera alone takes 24 days. How many days would Pooja take alone?
  25. 25.Karan works twice as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  26. 26.Isha works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  27. 27.Priya can finish a job in 2 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Karan can finish a job in 17 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Sneha works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  30. 30.Arjun can finish a job in 8 days and Manav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Isha works three times as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  32. 32.Arjun can finish a job in 14 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Saanvi can finish a job in 8 days and Meera in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Ishaan can finish a job in 17 days and Karan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Ishaan works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  36. 36.Ishaan works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  37. 37.Saanvi works three times as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  38. 38.Ishaan can finish a job in 16 days and Farhan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Farhan works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  40. 40.Vivaan works three times as fast as Dev. Together they finish a job in 6 days. How many days would Dev take alone?

Answer key

  1. 12
  2. 20/11
  3. 12
  4. 42
  5. 30
  6. 3
  7. 20/9
  8. 13
  9. 6
  10. 4
  11. 2
  12. 20
  13. 16/3
  14. 24
  15. 7/12
  16. 27
  17. 15
  18. 3/10
  19. 6
  20. 60
  21. 33/14
  22. 5
  23. 119/24
  24. 8
  25. 30
  26. 12
  27. 20/11
  28. 37/340
  29. 36
  30. 152/27
  31. 20
  32. 31/238
  33. 45/56
  34. 29/68
  35. 21
  36. 48
  37. 20
  38. 7/48
  39. 36
  40. 24

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