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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 239 · 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.Aarav works twice as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
  2. 2.Arjun can finish a job in 11 days and Farhan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Tara can finish a job in 15 days and Nisha in 9 days. Tara works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  4. 4.Vivaan works twice as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  5. 5.Rohan can finish a job in 4 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Arjun can finish a job in 10 days and Zoya in 5 days. Arjun works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  7. 7.Diya works three times as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  8. 8.Aarav can finish a job in 4 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Zoya can finish a job in 10 days and Aarav in 15 days. Zoya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  10. 10.Ananya and Saanvi together finish a job in 3 days. Ananya alone takes 4 days. How many days would Saanvi take alone?
  11. 11.Ananya can finish a job in 4 days and Arjun in 10 days. Ananya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Rohan can finish a job in 15 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. =
  13. 13.Diya works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  14. 14.Karan works twice as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  15. 15.Priya can finish a job in 10 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Diya can finish a job in 20 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Isha can finish a job in 10 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aditya can finish a job in 6 days and Rohan in 2 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 5 days and Karan in 15 days. Ananya works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  20. 20.Zoya can finish a job in 15 days and Kabir in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Rohan can finish a job in 5 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Sneha can finish a job in 6 days and Manav in 30 days. Sneha works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  23. 23.Vivaan can finish a job in 7 days and Diya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Manav works three times as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  25. 25.Priya can finish a job in 11 days and Isha in 22 days. Priya works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
  26. 26.Ishaan works three times as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  27. 27.Zoya can finish a job in 4 days and Sneha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Meera and Manav together finish a job in 6 days. Meera alone takes 9 days. How many days would Manav take alone?
  29. 29.Aditya can finish a job in 15 days and Pooja in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Arjun and Ananya together finish a job in 5 days. Arjun alone takes 10 days. How many days would Ananya take alone?
  31. 31.Rahul can finish a job in 3 days and Manav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Tara can finish a job in 10 days and Pooja in 8 days. Tara works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  33. 33.Diya and Rahul together finish a job in 9 days. Diya alone takes 10 days. How many days would Rahul take alone?
  34. 34.Nisha can finish a job in 2 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. =
  35. 35.Rohan can finish a job in 4 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Aditya can finish a job in 5 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Ishaan can finish a job in 20 days and Tara in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Aarav can finish a job in 16 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. =
  39. 39.Kavya works three times as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  40. 40.Zoya and Dev together finish a job in 2 days. Zoya alone takes 4 days. How many days would Dev take alone?

Answer key

  1. 36
  2. 55/16
  3. 6
  4. 15
  5. 20/9
  6. 1
  7. 24
  8. 3/10
  9. 12
  10. 12
  11. 5
  12. 90/11
  13. 32
  14. 6
  15. 19/30
  16. 80/9
  17. 30/13
  18. 3/2
  19. 9
  20. 1/3
  21. 55/16
  22. 25
  23. 23/112
  24. 20
  25. 20
  26. 12
  27. 11/18
  28. 18
  29. 11/30
  30. 10
  31. 42/17
  32. 4
  33. 90
  34. 14/9
  35. 9/20
  36. 28/45
  37. 29/90
  38. 144/17
  39. 24
  40. 4

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