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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 157 · 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.Kabir can finish a job in 20 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Ananya can finish a job in 3 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Manav can finish a job in 4 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Arjun works three times as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  5. 5.Manav can finish a job in 5 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. =
  6. 6.Diya can finish a job in 9 days and Kavya in 21 days. Diya works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  7. 7.Pooja works twice as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  8. 8.Kavya can finish a job in 22 days and Pooja in 8 days. Kavya works alone for 11 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  9. 9.Zoya can finish a job in 12 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Ananya can finish a job in 11 days and Vivaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Sneha can finish a job in 14 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Vivaan can finish a job in 28 days and Farhan in 12 days. Vivaan works alone for 7 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  13. 13.Rohan can finish a job in 5 days and Manav in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Aditya can finish a job in 6 days and Saanvi in 12 days. Aditya works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  15. 15.Meera can finish a job in 13 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Rahul can finish a job in 15 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kabir can finish a job in 8 days and Nisha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Karan can finish a job in 11 days and Meera in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Aarav can finish a job in 4 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Dev can finish a job in 18 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. =
  21. 21.Arjun and Isha together finish a job in 3 days. Arjun alone takes 4 days. How many days would Isha take alone?
  22. 22.Pooja can finish a job in 8 days and Dev in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Kavya and Farhan together finish a job in 3 days. Kavya alone takes 4 days. How many days would Farhan take alone?
  24. 24.Nisha can finish a job in 16 days and Ishaan in 28 days. Nisha works alone for 12 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  25. 25.Aarav can finish a job in 16 days and Farhan in 20 days. Aarav works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  26. 26.Ananya and Aditya together finish a job in 4 days. Ananya alone takes 5 days. How many days would Aditya take alone?
  27. 27.Farhan can finish a job in 9 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Diya works twice as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  29. 29.Karan and Kabir together finish a job in 12 days. Karan alone takes 16 days. How many days would Kabir take alone?
  30. 30.Arjun can finish a job in 11 days and Rahul in 22 days. Arjun works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  31. 31.Kabir can finish a job in 19 days and Rahul in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Pooja and Kavya together finish a job in 2 days. Pooja alone takes 3 days. How many days would Kavya take alone?
  33. 33.Vivaan and Farhan together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Farhan take alone?
  34. 34.Pooja can finish a job in 4 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Manav and Vivaan together finish a job in 10 days. Manav alone takes 15 days. How many days would Vivaan take alone?
  36. 36.Dev works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  37. 37.Kabir can finish a job in 4 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Isha can finish a job in 4 days and Meera in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Isha works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  40. 40.Farhan and Zoya together finish a job in 8 days. Farhan alone takes 9 days. How many days would Zoya take alone?

Answer key

  1. 60/23
  2. 5/2
  3. 68/21
  4. 44
  5. 10/7
  6. 7
  7. 18
  8. 4
  9. 3/4
  10. 187/28
  11. 6/35
  12. 9
  13. 66/85
  14. 10
  15. 221/30
  16. 30/7
  17. 40/7
  18. 63/110
  19. 12/5
  20. 72/13
  21. 12
  22. 27/40
  23. 12
  24. 7
  25. 15
  26. 20
  27. 14/45
  28. 15
  29. 48
  30. 14
  31. 29/190
  32. 6
  33. 6
  34. 8/3
  35. 30
  36. 12
  37. 1/3
  38. 9/28
  39. 16
  40. 72

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