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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 462 · 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.Manav works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  2. 2.Farhan can finish a job in 16 days and Dev in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Sneha can finish a job in 9 days and Zoya in 24 days. Sneha works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  4. 4.Diya can finish a job in 17 days and Aditya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Aarav and Kavya together finish a job in 2 days. Aarav alone takes 3 days. How many days would Kavya take alone?
  6. 6.Karan and Ananya together finish a job in 3 days. Karan alone takes 4 days. How many days would Ananya take alone?
  7. 7.Diya and Kabir together finish a job in 10 days. Diya alone takes 15 days. How many days would Kabir take alone?
  8. 8.Aditya and Kabir together finish a job in 2 days. Aditya alone takes 3 days. How many days would Kabir take alone?
  9. 9.Tara can finish a job in 14 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Arjun works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  11. 11.Saanvi can finish a job in 5 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Meera can finish a job in 3 days and Ishaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Farhan works twice as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  14. 14.Sneha and Priya together finish a job in 8 days. Sneha alone takes 9 days. How many days would Priya take alone?
  15. 15.Farhan can finish a job in 12 days and Tara in 30 days. Farhan works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Meera can finish a job in 8 days and Aditya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Ananya can finish a job in 3 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kabir can finish a job in 26 days and Kavya in 6 days. Kabir works alone for 13 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  19. 19.Arjun works twice as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
  20. 20.Tara can finish a job in 8 days and Aarav in 26 days. Tara works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  21. 21.Manav and Pooja together finish a job in 3 days. Manav alone takes 4 days. How many days would Pooja take alone?
  22. 22.Vivaan works twice as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  23. 23.Tara works three times as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  24. 24.Saanvi can finish a job in 4 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Tara can finish a job in 6 days and Manav in 30 days. Tara works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  26. 26.Zoya can finish a job in 14 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Tara can finish a job in 6 days and Rahul in 18 days. Tara works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  28. 28.Meera and Farhan together finish a job in 4 days. Meera alone takes 5 days. How many days would Farhan take alone?
  29. 29.Rohan can finish a job in 9 days and Ananya in 24 days. Rohan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  30. 30.Dev works twice as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  31. 31.Isha can finish a job in 12 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. =
  32. 32.Dev can finish a job in 12 days and Manav in 16 days. Dev works alone for 9 days and then stops. Manav finishes the rest. How many days does Manav take?
  33. 33.Pooja and Ishaan together finish a job in 6 days. Pooja alone takes 10 days. How many days would Ishaan take alone?
  34. 34.Pooja and Saanvi together finish a job in 3 days. Pooja alone takes 4 days. How many days would Saanvi take alone?
  35. 35.Vivaan can finish a job in 16 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Pooja can finish a job in 12 days and Aarav in 20 days. Pooja works alone for 9 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  37. 37.Aarav and Tara together finish a job in 2 days. Aarav alone takes 4 days. How many days would Tara take alone?
  38. 38.Rohan can finish a job in 19 days and Zoya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Arjun can finish a job in 14 days and Ishaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Manav can finish a job in 5 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 6
  2. 9/40
  3. 16
  4. 27/170
  5. 6
  6. 12
  7. 30
  8. 6
  9. 27/91
  10. 15
  11. 40/13
  12. 48/19
  13. 6
  14. 72
  15. 25
  16. 3/8
  17. 33/14
  18. 3
  19. 30
  20. 13
  21. 12
  22. 12
  23. 8
  24. 20/9
  25. 15
  26. 42/17
  27. 12
  28. 20
  29. 16
  30. 21
  31. 228/31
  32. 4
  33. 15
  34. 12
  35. 112/15
  36. 5
  37. 4
  38. 25/57
  39. 70/19
  40. 35/12

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