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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 346 · 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 can finish a job in 8 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kavya can finish a job in 20 days and Diya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Saanvi can finish a job in 28 days and Dev in 12 days. Saanvi works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  4. 4.Zoya can finish a job in 9 days and Sneha in 24 days. Zoya works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  5. 5.Rahul can finish a job in 10 days and Ananya in 24 days. Rahul works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  6. 6.Pooja works three times as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  7. 7.Tara can finish a job in 5 days and Nisha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Vivaan can finish a job in 9 days and Isha in 15 days. Vivaan works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  9. 9.Karan works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  10. 10.Aarav works twice as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
  11. 11.Manav and Sneha together finish a job in 3 days. Manav alone takes 12 days. How many days would Sneha take alone?
  12. 12.Karan and Pooja together finish a job in 2 days. Karan alone takes 4 days. How many days would Pooja take alone?
  13. 13.Isha can finish a job in 4 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Zoya can finish a job in 5 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Pooja can finish a job in 12 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aditya works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  17. 17.Aarav can finish a job in 6 days and Dev in 16 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 5 days and Arjun in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Priya can finish a job in 10 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rahul works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  21. 21.Arjun can finish a job in 6 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Zoya can finish a job in 11 days and Farhan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Diya can finish a job in 8 days and Ananya in 3 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 8 days and Tara in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kabir can finish a job in 6 days and Ananya in 18 days. Kabir works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  26. 26.Priya can finish a job in 6 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Nisha can finish a job in 16 days and Vivaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aditya can finish a job in 18 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Rahul can finish a job in 11 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Meera and Priya together finish a job in 16 days. Meera alone takes 20 days. How many days would Priya take alone?
  31. 31.Vivaan works three times as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
  32. 32.Ananya can finish a job in 15 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rahul and Kabir together finish a job in 18 days. Rahul alone takes 27 days. How many days would Kabir take alone?
  34. 34.Isha can finish a job in 14 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. =
  35. 35.Kavya and Diya together finish a job in 2 days. Kavya alone takes 4 days. How many days would Diya take alone?
  36. 36.Nisha can finish a job in 6 days and Isha in 21 days. Nisha works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  37. 37.Rohan works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  38. 38.Arjun can finish a job in 5 days and Pooja in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ishaan can finish a job in 15 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Saanvi and Arjun together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Arjun take alone?

Answer key

  1. 56/15
  2. 33/260
  3. 9
  4. 8
  5. 12
  6. 48
  7. 4
  8. 10
  9. 12
  10. 9
  11. 4
  12. 4
  13. 10/3
  14. 85/22
  15. 204/29
  16. 21
  17. 48/11
  18. 80/21
  19. 170/27
  20. 36
  21. 48/11
  22. 77/18
  23. 24/11
  24. 24/7
  25. 12
  26. 9/2
  27. 240/31
  28. 126/25
  29. 66/17
  30. 80
  31. 40
  32. 30/17
  33. 54
  34. 42/17
  35. 4
  36. 14
  37. 33
  38. 65/18
  39. 195/28
  40. 4

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