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Time and Work Worksheet

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

Answer key

  1. 9/28
  2. 30
  3. 6
  4. 36
  5. 42/17
  6. 78/19
  7. 14
  8. 140/27
  9. 10
  10. 11/12
  11. 12
  12. 30/13
  13. 12
  14. 2
  15. 4
  16. 12
  17. 36
  18. 255/32
  19. 6
  20. 12
  21. 9/10
  22. 18/5
  23. 12
  24. 5/9
  25. 20
  26. 165/26
  27. 1
  28. 26/165
  29. 111/340
  30. 6
  31. 32/85
  32. 27/182
  33. 24
  34. 8
  35. 20
  36. 12/5
  37. 285/34
  38. 13
  39. 13/30
  40. 24

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