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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 506 · 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 14 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara and Rahul together finish a job in 6 days. Tara alone takes 7 days. How many days would Rahul take alone?
  3. 3.Kabir and Ananya together finish a job in 12 days. Kabir alone takes 16 days. How many days would Ananya take alone?
  4. 4.Saanvi can finish a job in 17 days and Nisha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Aditya can finish a job in 4 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Saanvi can finish a job in 16 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Sneha and Ishaan together finish a job in 12 days. Sneha alone takes 15 days. How many days would Ishaan take alone?
  8. 8.Pooja works twice as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  9. 9.Rahul can finish a job in 4 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. =
  10. 10.Diya can finish a job in 5 days and Sneha in 20 days. Diya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  11. 11.Ishaan works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  12. 12.Ishaan and Ananya together finish a job in 3 days. Ishaan alone takes 6 days. How many days would Ananya take alone?
  13. 13.Saanvi and Dev together finish a job in 6 days. Saanvi alone takes 7 days. How many days would Dev take alone?
  14. 14.Kavya can finish a job in 15 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Aarav can finish a job in 8 days and Arjun in 4 days. Aarav works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  16. 16.Isha can finish a job in 27 days and Nisha in 18 days. Isha works alone for 12 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  17. 17.Rahul can finish a job in 4 days and Manav in 24 days. Rahul works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  18. 18.Farhan works twice as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  19. 19.Diya and Meera together finish a job in 9 days. Diya alone takes 10 days. How many days would Meera take alone?
  20. 20.Farhan can finish a job in 10 days and Diya in 6 days. Farhan works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  21. 21.Pooja and Meera together finish a job in 2 days. Pooja alone takes 4 days. How many days would Meera take alone?
  22. 22.Nisha can finish a job in 18 days and Saanvi in 6 days. Nisha works alone for 15 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  23. 23.Karan works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  24. 24.Arjun can finish a job in 26 days and Sneha in 14 days. Arjun works alone for 13 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  25. 25.Diya can finish a job in 11 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kavya can finish a job in 4 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Ananya can finish a job in 16 days and Saanvi in 26 days. Ananya works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  28. 28.Farhan and Aditya together finish a job in 2 days. Farhan alone takes 3 days. How many days would Aditya take alone?
  29. 29.Sneha can finish a job in 6 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Sneha works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  31. 31.Diya can finish a job in 20 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Kavya works twice as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  33. 33.Diya works three times as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  34. 34.Zoya can finish a job in 15 days and Vivaan in 21 days. Zoya works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  35. 35.Karan and Manav together finish a job in 6 days. Karan alone takes 15 days. How many days would Manav take alone?
  36. 36.Arjun can finish a job in 7 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Tara can finish a job in 5 days and Vivaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rahul and Aditya together finish a job in 14 days. Rahul alone takes 28 days. How many days would Aditya take alone?
  39. 39.Manav can finish a job in 5 days and Meera in 15 days. Manav works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  40. 40.Meera and Nisha together finish a job in 3 days. Meera alone takes 4 days. How many days would Nisha take alone?

Answer key

  1. 84/13
  2. 42
  3. 48
  4. 306/35
  5. 5/16
  6. 144/25
  7. 60
  8. 24
  9. 28/9
  10. 12
  11. 12
  12. 6
  13. 42
  14. 90/11
  15. 2
  16. 10
  17. 6
  18. 21
  19. 90
  20. 3
  21. 4
  22. 1
  23. 21
  24. 7
  25. 88/19
  26. 15/44
  27. 13
  28. 6
  29. 78/19
  30. 8
  31. 60/7
  32. 15
  33. 20
  34. 14
  35. 10
  36. 63/16
  37. 70/19
  38. 28
  39. 9
  40. 12

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