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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 366 · 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.Vivaan can finish a job in 14 days and Dev in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Priya can finish a job in 6 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Saanvi works three times as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
  4. 4.Meera works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
  5. 5.Aarav can finish a job in 15 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Vivaan works three times as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  7. 7.Rohan and Pooja together finish a job in 2 days. Rohan alone takes 3 days. How many days would Pooja take alone?
  8. 8.Sneha works three times as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  9. 9.Sneha and Arjun together finish a job in 2 days. Sneha alone takes 3 days. How many days would Arjun take alone?
  10. 10.Meera can finish a job in 7 days and Manav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Isha and Aditya together finish a job in 5 days. Isha alone takes 6 days. How many days would Aditya take alone?
  12. 12.Rohan can finish a job in 7 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Pooja can finish a job in 4 days and Vivaan in 24 days. Pooja works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  14. 14.Zoya and Sneha together finish a job in 6 days. Zoya alone takes 7 days. How many days would Sneha take alone?
  15. 15.Ananya can finish a job in 8 days and Aarav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Zoya can finish a job in 19 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ananya and Aarav together finish a job in 12 days. Ananya alone takes 24 days. How many days would Aarav take alone?
  18. 18.Priya can finish a job in 4 days and Vivaan in 30 days. Priya works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  19. 19.Rahul and Kabir together finish a job in 15 days. Rahul alone takes 30 days. How many days would Kabir take alone?
  20. 20.Zoya can finish a job in 10 days and Kavya in 25 days. Zoya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  21. 21.Kavya works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  22. 22.Rohan can finish a job in 16 days and Rahul in 12 days. Rohan works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Kavya can finish a job in 8 days and Nisha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kabir can finish a job in 5 days and Tara in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Priya works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  26. 26.Tara and Ishaan together finish a job in 5 days. Tara alone takes 10 days. How many days would Ishaan take alone?
  27. 27.Zoya can finish a job in 4 days and Kabir in 8 days. Zoya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  28. 28.Ananya can finish a job in 14 days and Nisha in 12 days. Ananya works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  29. 29.Arjun works three times as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  30. 30.Ananya and Ishaan together finish a job in 2 days. Ananya alone takes 3 days. How many days would Ishaan take alone?
  31. 31.Vivaan works three times as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  32. 32.Sneha can finish a job in 15 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan can finish a job in 11 days and Kavya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Kabir can finish a job in 20 days and Tara in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Zoya can finish a job in 18 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Diya can finish a job in 3 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Diya can finish a job in 16 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Manav can finish a job in 10 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. =
  39. 39.Rahul can finish a job in 14 days and Isha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Diya can finish a job in 21 days and Aarav in 14 days. Diya works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?

Answer key

  1. 9/14
  2. 42/13
  3. 36
  4. 36
  5. 29/210
  6. 48
  7. 6
  8. 44
  9. 6
  10. 48/119
  11. 30
  12. 119/24
  13. 18
  14. 42
  15. 72/13
  16. 38/21
  17. 24
  18. 15
  19. 30
  20. 15
  21. 16
  22. 3
  23. 56/11
  24. 3/10
  25. 18
  26. 10
  27. 2
  28. 6
  29. 44
  30. 6
  31. 44
  32. 105/22
  33. 63/110
  34. 33/260
  35. 2/3
  36. 57/22
  37. 208/29
  38. 20/3
  39. 3/14
  40. 10

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