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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 332 · 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.Rohan works three times as fast as Sneha. Together they finish a job in 7 days. How many days would Sneha take alone?
  2. 2.Nisha and Sneha together finish a job in 12 days. Nisha alone takes 16 days. How many days would Sneha take alone?
  3. 3.Kavya can finish a job in 9 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Rahul can finish a job in 20 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Manav and Tara together finish a job in 12 days. Manav alone takes 18 days. How many days would Tara take alone?
  6. 6.Vivaan and Ishaan together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Ishaan take alone?
  7. 7.Meera and Farhan together finish a job in 5 days. Meera alone takes 6 days. How many days would Farhan take alone?
  8. 8.Zoya can finish a job in 12 days and Dev in 18 days. Zoya works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  9. 9.Vivaan can finish a job in 13 days and Karan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Vivaan works three times as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  11. 11.Pooja works three times as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  12. 12.Aarav can finish a job in 5 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Meera can finish a job in 20 days and Rahul in 10 days. Meera works alone for 18 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  14. 14.Ishaan can finish a job in 21 days and Manav in 24 days. Ishaan works alone for 7 days and then stops. Manav finishes the rest. How many days does Manav take?
  15. 15.Zoya can finish a job in 20 days and Meera in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aditya and Karan together finish a job in 4 days. Aditya alone takes 6 days. How many days would Karan take alone?
  17. 17.Tara works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  18. 18.Kabir can finish a job in 13 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Ananya can finish a job in 11 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Aarav can finish a job in 6 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Karan can finish a job in 19 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara can finish a job in 6 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Farhan can finish a job in 4 days and Ananya in 28 days. Farhan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  24. 24.Tara and Ananya together finish a job in 5 days. Tara alone takes 6 days. How many days would Ananya take alone?
  25. 25.Vivaan can finish a job in 20 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ananya can finish a job in 28 days and Kabir in 6 days. Ananya works alone for 14 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  27. 27.Sneha can finish a job in 20 days and Farhan in 26 days. Sneha works alone for 10 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  28. 28.Karan can finish a job in 7 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. =
  29. 29.Dev can finish a job in 10 days and Saanvi in 22 days. Dev works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  30. 30.Manav and Isha together finish a job in 2 days. Manav alone takes 4 days. How many days would Isha take alone?
  31. 31.Aditya can finish a job in 16 days and Priya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Aditya can finish a job in 9 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Rahul can finish a job in 8 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan and Arjun together finish a job in 5 days. Rohan alone takes 6 days. How many days would Arjun take alone?
  35. 35.Nisha can finish a job in 4 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Isha can finish a job in 8 days and Ishaan in 4 days. Isha works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  37. 37.Ishaan can finish a job in 12 days and Diya in 8 days. Ishaan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  38. 38.Diya and Farhan together finish a job in 5 days. Diya alone takes 6 days. How many days would Farhan take alone?
  39. 39.Manav can finish a job in 14 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Rohan can finish a job in 12 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 28
  2. 48
  3. 45/14
  4. 140/27
  5. 36
  6. 20
  7. 30
  8. 15
  9. 32/247
  10. 28
  11. 12
  12. 15/4
  13. 1
  14. 16
  15. 9/20
  16. 12
  17. 33
  18. 25/52
  19. 63/110
  20. 30/11
  21. 57/22
  22. 11/30
  23. 7
  24. 30
  25. 15/2
  26. 3
  27. 13
  28. 105/22
  29. 11
  30. 4
  31. 15/56
  32. 13/36
  33. 24/7
  34. 30
  35. 15/16
  36. 1
  37. 6
  38. 30
  39. 99/266
  40. 7/16

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