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Time and Work Worksheet

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

Answer key

  1. 247/32
  2. 27
  3. 12/7
  4. 85/22
  5. 21/10
  6. 8/21
  7. 13/40
  8. 12
  9. 12/7
  10. 40
  11. 16
  12. 18
  13. 12
  14. 12
  15. 12
  16. 27
  17. 14/15
  18. 16
  19. 21
  20. 306/35
  21. 16/21
  22. 234/31
  23. 68/21
  24. 26/51
  25. 9
  26. 19/26
  27. 8
  28. 72
  29. 78/19
  30. 112/23
  31. 36
  32. 9
  33. 20/91
  34. 4
  35. 60
  36. 120/23
  37. 2
  38. 36
  39. 24
  40. 12

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