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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 351 · 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.Ishaan can finish a job in 15 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Farhan works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  3. 3.Sneha can finish a job in 11 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Ananya can finish a job in 20 days and Meera in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Aditya can finish a job in 13 days and Nisha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Tara and Isha together finish a job in 4 days. Tara alone takes 6 days. How many days would Isha take alone?
  7. 7.Dev works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  8. 8.Kabir can finish a job in 17 days and Dev in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Nisha can finish a job in 18 days and Farhan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Arjun and Aarav together finish a job in 9 days. Arjun alone takes 10 days. How many days would Aarav take alone?
  11. 11.Arjun can finish a job in 16 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Diya can finish a job in 5 days and Zoya in 10 days. Diya works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  13. 13.Isha can finish a job in 7 days and Rohan in 21 days. Isha works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  14. 14.Priya can finish a job in 11 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Meera can finish a job in 11 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Manav and Priya together finish a job in 5 days. Manav alone takes 6 days. How many days would Priya take alone?
  17. 17.Ananya works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  18. 18.Manav can finish a job in 7 days and Dev in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Nisha can finish a job in 8 days and Ishaan in 24 days. Nisha works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  20. 20.Sneha can finish a job in 6 days and Vivaan in 8 days. Sneha works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  21. 21.Vivaan can finish a job in 20 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Zoya can finish a job in 10 days and Rahul in 25 days. Zoya works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Diya works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  24. 24.Zoya and Arjun together finish a job in 4 days. Zoya alone takes 5 days. How many days would Arjun take alone?
  25. 25.Vivaan can finish a job in 3 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Saanvi works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  27. 27.Rahul can finish a job in 6 days and Kavya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Priya and Zoya together finish a job in 8 days. Priya alone takes 9 days. How many days would Zoya take alone?
  29. 29.Farhan can finish a job in 18 days and Ananya in 26 days. Farhan works alone for 9 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  30. 30.Nisha and Aditya together finish a job in 4 days. Nisha alone takes 5 days. How many days would Aditya take alone?
  31. 31.Ananya works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  32. 32.Saanvi can finish a job in 25 days and Rahul in 5 days. Saanvi works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  33. 33.Saanvi and Kabir together finish a job in 4 days. Saanvi alone takes 8 days. How many days would Kabir take alone?
  34. 34.Rohan can finish a job in 20 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Diya can finish a job in 26 days and Farhan in 13 days. Diya works alone for 20 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  36. 36.Farhan works three times as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  37. 37.Meera works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  38. 38.Kabir can finish a job in 6 days and Vivaan in 30 days. Kabir works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  39. 39.Vivaan and Rahul together finish a job in 12 days. Vivaan alone takes 16 days. How many days would Rahul take alone?
  40. 40.Rahul can finish a job in 15 days and Sneha in 24 days. Rahul works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?

Answer key

  1. 105/22
  2. 48
  3. 84/187
  4. 1/2
  5. 104/21
  6. 12
  7. 27
  8. 22/85
  9. 1/6
  10. 90
  11. 144/25
  12. 6
  13. 6
  14. 18/77
  15. 40/99
  16. 30
  17. 33
  18. 19/28
  19. 6
  20. 4
  21. 1/2
  22. 10
  23. 9
  24. 20
  25. 39/16
  26. 27
  27. 4
  28. 72
  29. 13
  30. 20
  31. 9
  32. 2
  33. 8
  34. 1/2
  35. 3
  36. 12
  37. 24
  38. 5
  39. 48
  40. 16

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