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Time and Work Worksheet

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

Answer key

  1. 323/36
  2. 27
  3. 12
  4. 4
  5. 30/11
  6. 1
  7. 120/23
  8. 10/21
  9. 3/8
  10. 48/119
  11. 208/29
  12. 22/105
  13. 36
  14. 8
  15. 48
  16. 48
  17. 4
  18. 60
  19. 5
  20. 4
  21. 15/8
  22. 3
  23. 6
  24. 40/7
  25. 30
  26. 36
  27. 57/22
  28. 48/19
  29. 117/22
  30. 3
  31. 6
  32. 7/4
  33. 9
  34. 12
  35. 70/17
  36. 30/7
  37. 114/25
  38. 24
  39. 9
  40. 35

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