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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 459 · 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 can finish a job in 6 days and Aditya in 22 days. Karan works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  2. 2.Aditya can finish a job in 6 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Ishaan can finish a job in 2 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. =
  4. 4.Dev can finish a job in 6 days and Meera in 4 days. Dev works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Aditya can finish a job in 8 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Tara can finish a job in 10 days and Diya in 4 days. Tara works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Manav can finish a job in 5 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Ananya works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  9. 9.Ananya can finish a job in 9 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Saanvi works three times as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  11. 11.Farhan can finish a job in 5 days and Kavya in 30 days. Farhan works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  12. 12.Aarav can finish a job in 4 days and Aditya in 12 days. Aarav works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Aditya works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  14. 14.Diya can finish a job in 6 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Karan and Dev together finish a job in 3 days. Karan alone takes 4 days. How many days would Dev take alone?
  16. 16.Kavya can finish a job in 9 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Isha can finish a job in 11 days and Diya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Nisha can finish a job in 18 days and Dev in 12 days. Nisha works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  19. 19.Isha works twice as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
  20. 20.Aarav and Ananya together finish a job in 4 days. Aarav alone takes 8 days. How many days would Ananya take alone?
  21. 21.Karan can finish a job in 13 days and Manav in 26 days. Karan works alone for 11 days and then stops. Manav finishes the rest. How many days does Manav take?
  22. 22.Zoya can finish a job in 8 days and Tara in 10 days. Zoya works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  23. 23.Kabir can finish a job in 5 days and Diya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Aarav works three times as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  25. 25.Manav can finish a job in 8 days and Meera in 24 days. Manav works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  26. 26.Zoya and Rohan together finish a job in 6 days. Zoya alone takes 10 days. How many days would Rohan take alone?
  27. 27.Zoya can finish a job in 5 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Nisha works three times as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  29. 29.Rohan can finish a job in 9 days and Manav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Zoya can finish a job in 9 days and Aarav in 27 days. Zoya works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  31. 31.Rahul works twice as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  32. 32.Nisha can finish a job in 2 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Sneha can finish a job in 4 days and Aarav in 20 days. Sneha works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  34. 34.Arjun and Farhan together finish a job in 10 days. Arjun alone takes 15 days. How many days would Farhan take alone?
  35. 35.Ananya can finish a job in 4 days and Kabir in 16 days. Ananya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  36. 36.Farhan works three times as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  37. 37.Meera works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  38. 38.Saanvi can finish a job in 7 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kavya works three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  40. 40.Pooja and Nisha together finish a job in 2 days. Pooja alone takes 3 days. How many days would Nisha take alone?

Answer key

  1. 11
  2. 11/24
  3. 12/7
  4. 2
  5. 56/15
  6. 2
  7. 13/20
  8. 20
  9. 63/16
  10. 28
  11. 18
  12. 3
  13. 36
  14. 48/11
  15. 12
  16. 63/16
  17. 28/187
  18. 10
  19. 30
  20. 8
  21. 4
  22. 5
  23. 4/15
  24. 44
  25. 21
  26. 15
  27. 35/12
  28. 16
  29. 13/18
  30. 24
  31. 6
  32. 26/15
  33. 5
  34. 30
  35. 8
  36. 8
  37. 24
  38. 35/12
  39. 32
  40. 6

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