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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 444 · 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.Rohan can finish a job in 30 days and Isha in 24 days. Rohan works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  2. 2.Karan can finish a job in 9 days and Rohan in 30 days. Karan works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Rohan can finish a job in 8 days and Zoya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Rohan can finish a job in 24 days and Sneha in 16 days. Rohan works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  5. 5.Meera can finish a job in 14 days and Tara in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Aarav works three times as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  7. 7.Karan can finish a job in 18 days and Ishaan in 30 days. Karan works alone for 12 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  8. 8.Isha works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
  9. 9.Tara works three times as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  10. 10.Rahul can finish a job in 20 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Pooja can finish a job in 20 days and Rohan in 12 days. Pooja works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  12. 12.Tara and Aarav together finish a job in 2 days. Tara alone takes 3 days. How many days would Aarav take alone?
  13. 13.Tara can finish a job in 10 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Vivaan works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  15. 15.Saanvi can finish a job in 8 days and Farhan in 16 days. Saanvi works alone for 6 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  16. 16.Dev and Priya together finish a job in 9 days. Dev alone takes 18 days. How many days would Priya take alone?
  17. 17.Sneha can finish a job in 9 days and Vivaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Sneha can finish a job in 13 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Aditya can finish a job in 7 days and Kabir in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Manav can finish a job in 10 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ishaan and Ananya together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Ananya take alone?
  22. 22.Manav can finish a job in 13 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Pooja can finish a job in 21 days and Aditya in 7 days. Pooja works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  24. 24.Aditya can finish a job in 13 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. =
  25. 25.Dev can finish a job in 6 days and Kabir in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Arjun can finish a job in 7 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Manav can finish a job in 17 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. =
  28. 28.Rohan works three times as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  29. 29.Dev can finish a job in 6 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Aditya works twice as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  31. 31.Karan can finish a job in 17 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Manav can finish a job in 11 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Tara works twice as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  34. 34.Rohan and Zoya together finish a job in 5 days. Rohan alone takes 6 days. How many days would Zoya take alone?
  35. 35.Aditya and Vivaan together finish a job in 2 days. Aditya alone takes 3 days. How many days would Vivaan take alone?
  36. 36.Saanvi works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  37. 37.Zoya can finish a job in 5 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Farhan and Kavya together finish a job in 2 days. Farhan alone takes 4 days. How many days would Kavya take alone?
  39. 39.Isha can finish a job in 19 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Kabir and Diya together finish a job in 3 days. Kabir alone takes 4 days. How many days would Diya take alone?

Answer key

  1. 20
  2. 20
  3. 136/25
  4. 12
  5. 23/42
  6. 32
  7. 10
  8. 12
  9. 40
  10. 13/30
  11. 3
  12. 6
  13. 80/13
  14. 36
  15. 4
  16. 18
  17. 17/72
  18. 221/30
  19. 72/119
  20. 170/27
  21. 4
  22. 21/104
  23. 5
  24. 78/19
  25. 8/15
  26. 140/27
  27. 221/30
  28. 8
  29. 3/2
  30. 9
  31. 102/23
  32. 110/21
  33. 9
  34. 30
  35. 6
  36. 12
  37. 9/20
  38. 4
  39. 34/95
  40. 12

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