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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 510 · 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 Diya together finish a job in 4 days. Aditya alone takes 12 days. How many days would Diya take alone?
  2. 2.Zoya and Saanvi together finish a job in 4 days. Zoya alone takes 5 days. How many days would Saanvi take alone?
  3. 3.Aarav can finish a job in 4 days and Arjun in 8 days. Aarav works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  4. 4.Saanvi can finish a job in 6 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Dev can finish a job in 4 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rahul can finish a job in 8 days and Vivaan in 16 days. Rahul works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  7. 7.Kavya works twice as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  8. 8.Aarav can finish a job in 2 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Nisha can finish a job in 19 days and Rohan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Pooja and Rahul together finish a job in 2 days. Pooja alone takes 3 days. How many days would Rahul take alone?
  11. 11.Meera and Rahul together finish a job in 5 days. Meera alone takes 10 days. How many days would Rahul take alone?
  12. 12.Ananya can finish a job in 14 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ananya can finish a job in 19 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Ananya can finish a job in 4 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Priya can finish a job in 14 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. =
  16. 16.Kabir works twice as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
  17. 17.Aarav can finish a job in 11 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kavya can finish a job in 16 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Rohan can finish a job in 15 days and Vivaan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Zoya can finish a job in 19 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rahul works three times as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  22. 22.Ishaan can finish a job in 9 days and Aditya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Ananya can finish a job in 13 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. =
  24. 24.Kabir works twice as fast as Vivaan. Together they finish a job in 8 days. How many days would Vivaan take alone?
  25. 25.Ananya can finish a job in 24 days and Vivaan in 8 days. Ananya works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  26. 26.Vivaan works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  27. 27.Karan and Rohan together finish a job in 4 days. Karan alone takes 6 days. How many days would Rohan take alone?
  28. 28.Meera can finish a job in 3 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Karan works twice as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  30. 30.Arjun and Isha together finish a job in 4 days. Arjun alone takes 5 days. How many days would Isha take alone?
  31. 31.Karan works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  32. 32.Karan can finish a job in 16 days and Isha in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Sneha can finish a job in 6 days and Isha in 18 days. Sneha works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  34. 34.Isha can finish a job in 8 days and Aditya in 4 days. Isha works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  35. 35.Arjun works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  36. 36.Rahul can finish a job in 2 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir can finish a job in 14 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ananya can finish a job in 13 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan can finish a job in 6 days and Vivaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Kavya can finish a job in 8 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 6
  2. 20
  3. 4
  4. 78/19
  5. 36/13
  6. 12
  7. 24
  8. 38/21
  9. 209/30
  10. 6
  11. 10
  12. 70/19
  13. 266/33
  14. 16/5
  15. 42/17
  16. 30
  17. 165/26
  18. 11/24
  19. 23/60
  20. 114/25
  21. 8
  22. 40/99
  23. 182/27
  24. 24
  25. 7
  26. 33
  27. 12
  28. 30/13
  29. 24
  30. 20
  31. 33
  32. 105/304
  33. 9
  34. 3
  35. 9
  36. 6/5
  37. 126/23
  38. 117/22
  39. 42/13
  40. 13/40

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