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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 495 · 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.Aditya can finish a job in 15 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Meera can finish a job in 15 days and Diya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Manav can finish a job in 12 days and Diya in 6 days. Manav works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  4. 4.Vivaan works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  5. 5.Vivaan works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  6. 6.Manav can finish a job in 22 days and Dev in 11 days. Manav works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  7. 7.Kabir and Tara together finish a job in 2 days. Kabir alone takes 4 days. How many days would Tara take alone?
  8. 8.Kavya and Ishaan together finish a job in 8 days. Kavya alone takes 24 days. How many days would Ishaan take alone?
  9. 9.Meera and Isha together finish a job in 2 days. Meera alone takes 3 days. How many days would Isha take alone?
  10. 10.Kabir can finish a job in 6 days and Priya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Kabir and Rahul together finish a job in 6 days. Kabir alone takes 8 days. How many days would Rahul take alone?
  12. 12.Arjun can finish a job in 10 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Karan can finish a job in 13 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Aarav can finish a job in 5 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Tara can finish a job in 2 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Isha can finish a job in 13 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Farhan works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  18. 18.Ananya can finish a job in 18 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Karan can finish a job in 3 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Meera can finish a job in 15 days and Isha in 5 days. Meera works alone for 12 days and then stops. Isha finishes the rest. How many days does Isha take?
  21. 21.Meera and Manav together finish a job in 10 days. Meera alone takes 20 days. How many days would Manav take alone?
  22. 22.Manav can finish a job in 8 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. =
  23. 23.Isha can finish a job in 17 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Zoya can finish a job in 17 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya can finish a job in 4 days and Ishaan in 18 days. Ananya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  26. 26.Manav can finish a job in 5 days and Vivaan in 25 days. Manav works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  27. 27.Isha can finish a job in 4 days and Dev in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Karan can finish a job in 5 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Arjun and Dev together finish a job in 2 days. Arjun alone takes 3 days. How many days would Dev take alone?
  30. 30.Kabir can finish a job in 18 days and Isha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Aarav can finish a job in 17 days and Rohan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Meera can finish a job in 14 days and Kabir in 10 days. Meera works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  33. 33.Rahul works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  34. 34.Priya can finish a job in 5 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Vivaan can finish a job in 8 days and Rahul in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Ananya can finish a job in 13 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Meera can finish a job in 21 days and Manav in 9 days. Meera works alone for 7 days and then stops. Manav finishes the rest. How many days does Manav take?
  38. 38.Vivaan can finish a job in 5 days and Saanvi in 15 days. Vivaan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  39. 39.Arjun works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  40. 40.Rahul works three times as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?

Answer key

  1. 90/11
  2. 22/105
  3. 5
  4. 9
  5. 36
  6. 9
  7. 4
  8. 12
  9. 6
  10. 11/16
  11. 24
  12. 4/5
  13. 19/39
  14. 90/23
  15. 16/9
  16. 26/15
  17. 12
  18. 23/45
  19. 12/7
  20. 1
  21. 20
  22. 24/7
  23. 21/68
  24. 68/21
  25. 9
  26. 20
  27. 19/20
  28. 15/4
  29. 6
  30. 8/63
  31. 37/340
  32. 5
  33. 16
  34. 66/85
  35. 9/40
  36. 234/31
  37. 6
  38. 12
  39. 36
  40. 44

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