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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 80 · 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.Sneha and Zoya together finish a job in 4 days. Sneha alone takes 5 days. How many days would Zoya take alone?
  2. 2.Vivaan can finish a job in 10 days and Kavya in 20 days. Vivaan works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  3. 3.Tara can finish a job in 3 days and Sneha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Ananya can finish a job in 4 days and Kabir in 12 days. Ananya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  5. 5.Tara can finish a job in 5 days and Diya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Vivaan can finish a job in 20 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Kavya works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  8. 8.Arjun works three times as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  9. 9.Ishaan works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  10. 10.Kavya works three times as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  11. 11.Karan can finish a job in 6 days and Isha in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Kavya and Manav together finish a job in 5 days. Kavya alone takes 6 days. How many days would Manav take alone?
  13. 13.Priya can finish a job in 7 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Kabir can finish a job in 13 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Kavya and Isha together finish a job in 4 days. Kavya alone takes 6 days. How many days would Isha take alone?
  16. 16.Dev can finish a job in 5 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Nisha works twice as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  18. 18.Arjun works twice as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  19. 19.Rohan can finish a job in 14 days and Diya in 7 days. Rohan works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  20. 20.Zoya works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  21. 21.Priya and Aditya together finish a job in 3 days. Priya alone takes 6 days. How many days would Aditya take alone?
  22. 22.Kavya and Priya together finish a job in 5 days. Kavya alone takes 10 days. How many days would Priya take alone?
  23. 23.Arjun works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  24. 24.Rohan can finish a job in 20 days and Ishaan in 10 days. Rohan works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  25. 25.Zoya 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. =
  26. 26.Ishaan can finish a job in 6 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Vivaan works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  28. 28.Rahul can finish a job in 3 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. =
  29. 29.Farhan works three times as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  30. 30.Dev can finish a job in 15 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Kavya and Dev together finish a job in 4 days. Kavya alone takes 5 days. How many days would Dev take alone?
  32. 32.Aditya can finish a job in 6 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Farhan can finish a job in 8 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kavya can finish a job in 12 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Ananya works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  36. 36.Isha and Pooja together finish a job in 3 days. Isha alone takes 4 days. How many days would Pooja take alone?
  37. 37.Arjun can finish a job in 14 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Meera and Ishaan together finish a job in 2 days. Meera alone takes 6 days. How many days would Ishaan take alone?
  39. 39.Aditya works twice as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  40. 40.Ishaan can finish a job in 5 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 20
  2. 14
  3. 12/5
  4. 3
  5. 11/30
  6. 17/140
  7. 8
  8. 36
  9. 6
  10. 44
  11. 25/38
  12. 30
  13. 21/10
  14. 29/208
  15. 12
  16. 11/15
  17. 33
  18. 18
  19. 5
  20. 18
  21. 6
  22. 10
  23. 18
  24. 8
  25. 28/9
  26. 2
  27. 36
  28. 2
  29. 28
  30. 15/4
  31. 20
  32. 5/12
  33. 56/15
  34. 156/25
  35. 36
  36. 12
  37. 126/23
  38. 3
  39. 24
  40. 4

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