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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 375 · 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.Sneha works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  2. 2.Rohan can finish a job in 18 days and Isha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Priya can finish a job in 13 days and Zoya in 4 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 6 days and Meera in 10 days. Rohan works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Rahul can finish a job in 4 days and Zoya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Meera can finish a job in 5 days and Rohan in 20 days. Meera works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  7. 7.Vivaan works three times as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  8. 8.Rahul can finish a job in 9 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Farhan and Ananya together finish a job in 2 days. Farhan alone takes 3 days. How many days would Ananya take alone?
  10. 10.Priya can finish a job in 6 days and Rahul in 24 days. Priya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  11. 11.Arjun and Diya together finish a job in 4 days. Arjun alone takes 6 days. How many days would Diya take alone?
  12. 12.Karan and Dev together finish a job in 3 days. Karan alone takes 4 days. How many days would Dev take alone?
  13. 13.Isha and Diya together finish a job in 6 days. Isha alone takes 12 days. How many days would Diya take alone?
  14. 14.Farhan can finish a job in 10 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Kabir and Tara together finish a job in 2 days. Kabir alone takes 4 days. How many days would Tara take alone?
  16. 16.Kabir can finish a job in 12 days and Arjun in 24 days. Kabir works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  17. 17.Vivaan works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  18. 18.Arjun can finish a job in 10 days and Kabir in 5 days. Arjun works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  19. 19.Aarav works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  20. 20.Rohan can finish a job in 2 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ishaan can finish a job in 20 days and Meera in 15 days. Ishaan works alone for 8 days and then stops. Meera finishes the rest. How many days does Meera take?
  22. 22.Zoya works twice as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
  23. 23.Isha can finish a job in 13 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. =
  24. 24.Kabir works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  25. 25.Nisha can finish a job in 14 days and Meera in 7 days. Nisha works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  26. 26.Manav and Aarav together finish a job in 20 days. Manav alone takes 30 days. How many days would Aarav take alone?
  27. 27.Diya can finish a job in 4 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Nisha can finish a job in 10 days and Meera in 18 days. Nisha works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
  29. 29.Farhan and Isha together finish a job in 10 days. Farhan alone takes 14 days. How many days would Isha take alone?
  30. 30.Kabir can finish a job in 17 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Dev works twice as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  32. 32.Saanvi can finish a job in 7 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Meera can finish a job in 6 days and Vivaan in 21 days. Meera works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  34. 34.Rahul can finish a job in 12 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Aditya works three times as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  36. 36.Karan and Kabir together finish a job in 2 days. Karan alone takes 3 days. How many days would Kabir take alone?
  37. 37.Diya can finish a job in 16 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Dev can finish a job in 2 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Meera can finish a job in 9 days and Isha in 6 days. Meera works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  40. 40.Priya can finish a job in 6 days and Saanvi in 30 days. Priya works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?

Answer key

  1. 27
  2. 4/9
  3. 52/17
  4. 5
  5. 15/44
  6. 12
  7. 40
  8. 63/16
  9. 6
  10. 16
  11. 12
  12. 12
  13. 12
  14. 45/7
  15. 4
  16. 14
  17. 15
  18. 4
  19. 36
  20. 16/9
  21. 9
  22. 9
  23. 78/19
  24. 36
  25. 2
  26. 60
  27. 3/10
  28. 9
  29. 35
  30. 323/36
  31. 9
  32. 26/133
  33. 14
  34. 7/36
  35. 12
  36. 6
  37. 240/31
  38. 14/9
  39. 2
  40. 20

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