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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 242 · 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.Aditya and Karan together finish a job in 4 days. Aditya alone takes 5 days. How many days would Karan take alone?
  2. 2.Manav can finish a job in 24 days and Zoya in 10 days. Manav works alone for 12 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  3. 3.Rahul works twice as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
  4. 4.Priya can finish a job in 10 days and Meera in 20 days. Priya works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Rohan works twice as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  6. 6.Saanvi can finish a job in 9 days and Tara in 24 days. Saanvi works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
  7. 7.Zoya works twice as fast as Farhan. Together they finish a job in 9 days. How many days would Farhan take alone?
  8. 8.Aditya can finish a job in 10 days and Pooja in 30 days. Aditya works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  9. 9.Dev can finish a job in 20 days and Ishaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Zoya can finish a job in 15 days and Priya in 30 days. Zoya works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  11. 11.Karan can finish a job in 11 days and Rahul in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kavya works three times as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  13. 13.Dev can finish a job in 4 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Pooja can finish a job in 9 days and Rohan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Aditya can finish a job in 6 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Rohan can finish a job in 6 days and Kabir in 30 days. Rohan works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  17. 17.Ishaan and Isha together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Isha take alone?
  18. 18.Diya can finish a job in 5 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ananya can finish a job in 6 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Isha and Kavya together finish a job in 4 days. Isha alone takes 6 days. How many days would Kavya take alone?
  21. 21.Kabir can finish a job in 11 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Diya can finish a job in 12 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Tara and Saanvi together finish a job in 6 days. Tara alone takes 8 days. How many days would Saanvi take alone?
  24. 24.Ananya can finish a job in 15 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Vivaan can finish a job in 18 days and Manav in 27 days. Vivaan works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
  26. 26.Saanvi can finish a job in 13 days and Dev in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Tara can finish a job in 20 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Manav works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  29. 29.Ananya can finish a job in 7 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rahul can finish a job in 9 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Dev works three times as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  32. 32.Priya works three times as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  33. 33.Kavya can finish a job in 16 days and Rahul in 12 days. Kavya works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  34. 34.Sneha can finish a job in 24 days and Aarav in 27 days. Sneha works alone for 8 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  35. 35.Arjun works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  36. 36.Priya can finish a job in 12 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kavya can finish a job in 5 days and Rohan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Diya can finish a job in 19 days and Ishaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Vivaan works twice as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  40. 40.Farhan can finish a job in 30 days and Isha in 8 days. Farhan works alone for 15 days and then stops. Isha finishes the rest. How many days does Isha take?

Answer key

  1. 20
  2. 5
  3. 30
  4. 6
  5. 27
  6. 8
  7. 27
  8. 15
  9. 20/3
  10. 26
  11. 33/14
  12. 16
  13. 1/3
  14. 22/117
  15. 13/20
  16. 25
  17. 30
  18. 90/23
  19. 42/13
  20. 12
  21. 72/143
  22. 3/10
  23. 24
  24. 30/17
  25. 15
  26. 31/78
  27. 37/340
  28. 9
  29. 84/19
  30. 99/20
  31. 24
  32. 8
  33. 3
  34. 18
  35. 36
  36. 3
  37. 15/8
  38. 48/95
  39. 15
  40. 4

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