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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 75 · 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.Kavya can finish a job in 6 days and Farhan in 4 days. Kavya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  2. 2.Manav can finish a job in 6 days and Rohan in 21 days. Manav works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Rohan can finish a job in 7 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Ishaan can finish a job in 13 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Sneha can finish a job in 18 days and Arjun in 14 days. Sneha works alone for 9 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  6. 6.Kavya can finish a job in 9 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ananya and Manav together finish a job in 2 days. Ananya alone takes 4 days. How many days would Manav take alone?
  8. 8.Dev can finish a job in 10 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Pooja and Diya together finish a job in 4 days. Pooja alone takes 5 days. How many days would Diya take alone?
  10. 10.Kavya can finish a job in 20 days and Rohan in 12 days. Kavya works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  11. 11.Aarav can finish a job in 4 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ishaan and Aarav together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Aarav take alone?
  13. 13.Kavya and Isha together finish a job in 3 days. Kavya alone takes 4 days. How many days would Isha take alone?
  14. 14.Vivaan and Ishaan together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Ishaan take alone?
  15. 15.Nisha can finish a job in 12 days and Manav in 26 days. Nisha works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Dev can finish a job in 6 days and Aarav in 18 days. Dev works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  17. 17.Dev works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  18. 18.Meera and Aarav together finish a job in 6 days. Meera alone takes 8 days. How many days would Aarav take alone?
  19. 19.Pooja can finish a job in 3 days and Sneha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Manav works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  21. 21.Kavya can finish a job in 7 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Diya works twice as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  23. 23.Diya can finish a job in 16 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Tara can finish a job in 5 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Dev can finish a job in 20 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Pooja works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  27. 27.Isha can finish a job in 5 days and Kabir in 20 days. Isha works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  28. 28.Rohan works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  29. 29.Karan can finish a job in 11 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Sneha can finish a job in 11 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Farhan can finish a job in 4 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  33. 33.Ishaan can finish a job in 9 days and Zoya in 27 days. Ishaan works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  34. 34.Rohan can finish a job in 7 days and Meera in 28 days. Rohan works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  35. 35.Ishaan works three times as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  36. 36.Diya works three times as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  37. 37.Meera and Sneha together finish a job in 5 days. Meera alone takes 30 days. How many days would Sneha take alone?
  38. 38.Ananya works twice as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
  39. 39.Ishaan can finish a job in 28 days and Vivaan in 7 days. Ishaan works alone for 20 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  40. 40.Diya works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?

Answer key

  1. 2
  2. 7
  3. 3/7
  4. 26/15
  5. 7
  6. 18/5
  7. 4
  8. 7/15
  9. 20
  10. 9
  11. 76/23
  12. 4
  13. 12
  14. 12
  15. 13
  16. 6
  17. 8
  18. 24
  19. 30/13
  20. 15
  21. 70/17
  22. 15
  23. 31/120
  24. 30/11
  25. 13/30
  26. 12
  27. 12
  28. 12
  29. 27/88
  30. 209/30
  31. 28/9
  32. 16
  33. 18
  34. 4
  35. 44
  36. 32
  37. 6
  38. 30
  39. 2
  40. 16

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