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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 174 · 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.Ananya can finish a job in 19 days and Dev in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Sneha works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  3. 3.Priya can finish a job in 28 days and Zoya in 10 days. Priya works alone for 14 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  4. 4.Manav can finish a job in 8 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Saanvi can finish a job in 6 days and Priya in 24 days. Saanvi works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  6. 6.Diya can finish a job in 8 days and Aditya in 14 days. Diya works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  7. 7.Rohan can finish a job in 6 days and Arjun in 18 days. Rohan works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  8. 8.Aditya and Vivaan together finish a job in 3 days. Aditya alone takes 12 days. How many days would Vivaan take alone?
  9. 9.Karan can finish a job in 3 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kavya can finish a job in 5 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Diya works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  12. 12.Zoya can finish a job in 6 days and Rohan in 15 days. Zoya works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  13. 13.Tara works twice as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  14. 14.Manav can finish a job in 6 days and Kavya in 15 days. Manav works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Isha and Kabir together finish a job in 4 days. Isha alone takes 12 days. How many days would Kabir take alone?
  16. 16.Tara and Saanvi together finish a job in 8 days. Tara alone takes 12 days. How many days would Saanvi take alone?
  17. 17.Isha can finish a job in 14 days and Zoya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Tara works three times as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  19. 19.Diya and Arjun together finish a job in 5 days. Diya alone takes 10 days. How many days would Arjun take alone?
  20. 20.Vivaan and Saanvi together finish a job in 15 days. Vivaan alone takes 30 days. How many days would Saanvi take alone?
  21. 21.Dev can finish a job in 13 days and Manav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Kavya can finish a job in 9 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  24. 24.Rohan and Kabir together finish a job in 4 days. Rohan alone takes 20 days. How many days would Kabir take alone?
  25. 25.Kavya can finish a job in 21 days and Rahul in 7 days. Kavya works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  26. 26.Ananya and Zoya together finish a job in 2 days. Ananya alone takes 3 days. How many days would Zoya take alone?
  27. 27.Aditya can finish a job in 22 days and Dev in 11 days. Aditya works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  28. 28.Priya can finish a job in 6 days and Rahul in 27 days. Priya works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  29. 29.Diya can finish a job in 18 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Sneha can finish a job in 8 days and Zoya in 30 days. Sneha works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  31. 31.Kavya works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  32. 32.Saanvi works twice as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  33. 33.Ananya and Diya together finish a job in 8 days. Ananya alone takes 16 days. How many days would Diya take alone?
  34. 34.Aditya can finish a job in 24 days and Diya in 8 days. Aditya works alone for 21 days and then stops. Diya finishes the rest. How many days does Diya take?
  35. 35.Vivaan can finish a job in 4 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Karan and Manav together finish a job in 8 days. Karan alone takes 9 days. How many days would Manav take alone?
  37. 37.Rohan can finish a job in 22 days and Nisha in 10 days. Rohan works alone for 11 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  38. 38.Priya works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  39. 39.Arjun and Rahul together finish a job in 2 days. Arjun alone takes 4 days. How many days would Rahul take alone?
  40. 40.Ishaan can finish a job in 4 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 171/28
  2. 33
  3. 5
  4. 40/7
  5. 4
  6. 7
  7. 9
  8. 4
  9. 2
  10. 23/90
  11. 36
  12. 10
  13. 18
  14. 5
  15. 6
  16. 24
  17. 140/17
  18. 36
  19. 10
  20. 30
  21. 29/208
  22. 18/5
  23. 12
  24. 5
  25. 2
  26. 6
  27. 8
  28. 9
  29. 9/2
  30. 15
  31. 12
  32. 12
  33. 16
  34. 1
  35. 12/7
  36. 72
  37. 5
  38. 16
  39. 4
  40. 52/17

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