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Time and Work Worksheet

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

Answer key

  1. 12/5
  2. 4
  3. 14
  4. 27
  5. 19/78
  6. 20
  7. 6
  8. 19/39
  9. 12
  10. 16
  11. 42/17
  12. 48
  13. 33/260
  14. 9
  15. 8
  16. 25
  17. 16
  18. 6
  19. 18
  20. 24
  21. 8
  22. 60
  23. 20
  24. 5/6
  25. 153/26
  26. 6
  27. 3
  28. 6
  29. 36
  30. 90
  31. 7/4
  32. 3
  33. 143/24
  34. 180/29
  35. 60
  36. 30
  37. 6
  38. 28/45
  39. 17/60
  40. 35/12

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