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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 112 · 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.Karan and Arjun together finish a job in 3 days. Karan alone takes 4 days. How many days would Arjun take alone?
  2. 2.Rahul can finish a job in 9 days and Vivaan in 27 days. Rahul works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  3. 3.Rahul works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  4. 4.Kabir works three times as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  5. 5.Meera can finish a job in 10 days and Kavya in 20 days. Meera works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  6. 6.Pooja can finish a job in 9 days and Kabir in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Tara can finish a job in 5 days and Karan in 20 days. Tara works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  8. 8.Pooja works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  9. 9.Kabir can finish a job in 10 days and Isha in 20 days. Kabir works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  10. 10.Isha can finish a job in 18 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Diya can finish a job in 11 days and Arjun in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Aditya can finish a job in 12 days and Dev in 10 days. Aditya works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  13. 13.Diya can finish a job in 24 days and Rahul in 8 days. Diya works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  14. 14.Aditya can finish a job in 17 days and Manav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Rahul can finish a job in 20 days and Kabir in 30 days. Rahul works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  16. 16.Rohan works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  17. 17.Zoya can finish a job in 18 days and Tara in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Diya can finish a job in 12 days and Ishaan in 20 days. Diya works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  19. 19.Meera and Ishaan together finish a job in 7 days. Meera alone takes 8 days. How many days would Ishaan take alone?
  20. 20.Isha works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  21. 21.Farhan can finish a job in 5 days and Tara in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Rahul can finish a job in 14 days and Kabir in 7 days. Rahul works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  23. 23.Aarav can finish a job in 18 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Tara and Saanvi together finish a job in 4 days. Tara alone takes 5 days. How many days would Saanvi take alone?
  25. 25.Nisha and Diya together finish a job in 4 days. Nisha alone takes 6 days. How many days would Diya take alone?
  26. 26.Saanvi works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  27. 27.Kabir works three times as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  28. 28.Zoya can finish a job in 9 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Rohan and Ishaan together finish a job in 4 days. Rohan alone takes 6 days. How many days would Ishaan take alone?
  30. 30.Tara can finish a job in 15 days and Ishaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Tara can finish a job in 14 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Rohan can finish a job in 12 days and Manav in 21 days. Rohan works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  33. 33.Rohan can finish a job in 3 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Sneha can finish a job in 9 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Farhan can finish a job in 6 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Priya can finish a job in 5 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Rohan works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  38. 38.Pooja can finish a job in 27 days and Saanvi in 9 days. Pooja works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  39. 39.Manav can finish a job in 20 days and Isha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Kabir can finish a job in 2 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 12
  2. 9
  3. 15
  4. 48
  5. 18
  6. 117/22
  7. 16
  8. 6
  9. 16
  10. 36/11
  11. 30/209
  12. 5
  13. 4
  14. 238/31
  15. 21
  16. 48
  17. 23/30
  18. 15
  19. 56
  20. 24
  21. 19/70
  22. 4
  23. 9/2
  24. 20
  25. 12
  26. 21
  27. 44
  28. 72/17
  29. 12
  30. 20/3
  31. 27/28
  32. 14
  33. 39/16
  34. 9/4
  35. 60/13
  36. 15/4
  37. 20
  38. 7
  39. 3/20
  40. 6/5

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