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Time and Work Worksheet

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

Answer key

  1. 30/7
  2. 8
  3. 24
  4. 5/2
  5. 2
  6. 12
  7. 16
  8. 19/39
  9. 7/16
  10. 10/7
  11. 15/22
  12. 12
  13. 8/15
  14. 12
  15. 31/76
  16. 5
  17. 8
  18. 33
  19. 4
  20. 20
  21. 19/78
  22. 24
  23. 12
  24. 20
  25. 28
  26. 7/4
  27. 7/4
  28. 3
  29. 16/9
  30. 1
  31. 6
  32. 33
  33. 30
  34. 140/17
  35. 27
  36. 10/3
  37. 9/20
  38. 4
  39. 20
  40. 15/2

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