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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 359 · 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.Priya can finish a job in 5 days and Tara in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Pooja can finish a job in 27 days and Dev in 18 days. Pooja works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Ananya can finish a job in 13 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Ishaan can finish a job in 8 days and Meera in 24 days. Ishaan works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Aditya works three times as fast as Vivaan. Together they finish a job in 8 days. How many days would Vivaan take alone?
  6. 6.Kabir works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  7. 7.Sneha can finish a job in 13 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Diya can finish a job in 13 days and Tara in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  10. 10.Tara can finish a job in 3 days and Sneha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera can finish a job in 6 days and Isha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Meera can finish a job in 18 days and Tara in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Arjun can finish a job in 7 days and Rahul in 14 days. Arjun works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  14. 14.Arjun can finish a job in 9 days and Pooja in 6 days. Arjun works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  15. 15.Arjun and Rahul together finish a job in 8 days. Arjun alone takes 12 days. How many days would Rahul take alone?
  16. 16.Isha can finish a job in 5 days and Arjun in 10 days. Isha works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  17. 17.Pooja can finish a job in 9 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Vivaan can finish a job in 13 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ishaan can finish a job in 14 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Farhan can finish a job in 15 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Priya can finish a job in 14 days and Kabir in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Meera can finish a job in 8 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Zoya can finish a job in 4 days and Aditya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Dev can finish a job in 17 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya and Diya together finish a job in 5 days. Ananya alone takes 6 days. How many days would Diya take alone?
  26. 26.Nisha can finish a job in 6 days and Kabir in 12 days. Nisha works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  27. 27.Farhan works three times as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  28. 28.Karan can finish a job in 7 days and Aarav in 28 days. Karan works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  29. 29.Priya can finish a job in 6 days and Isha in 9 days. Priya works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  30. 30.Aarav can finish a job in 14 days and Isha in 7 days. Aarav works alone for 12 days and then stops. Isha finishes the rest. How many days does Isha take?
  31. 31.Sneha and Diya together finish a job in 2 days. Sneha alone takes 6 days. How many days would Diya take alone?
  32. 32.Diya can finish a job in 5 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Diya can finish a job in 11 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Kabir can finish a job in 9 days and Kavya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  36. 36.Vivaan and Rahul together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Rahul take alone?
  37. 37.Rahul can finish a job in 7 days and Diya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Diya can finish a job in 6 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aarav works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  40. 40.Kabir can finish a job in 10 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 30/11
  2. 12
  3. 52/17
  4. 21
  5. 32
  6. 33
  7. 143/24
  8. 19/26
  9. 28
  10. 48/19
  11. 18/5
  12. 37/171
  13. 8
  14. 4
  15. 24
  16. 4
  17. 56/171
  18. 156/25
  19. 29/70
  20. 240/31
  21. 126/23
  22. 40/13
  23. 28/9
  24. 136/25
  25. 30
  26. 8
  27. 28
  28. 20
  29. 3
  30. 1
  31. 3
  32. 30/11
  33. 26/55
  34. 117/22
  35. 36
  36. 4
  37. 16/21
  38. 102/23
  39. 12
  40. 3/20

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