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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 409 · 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.Nisha can finish a job in 11 days and Farhan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Aditya and Ishaan together finish a job in 2 days. Aditya alone takes 4 days. How many days would Ishaan take alone?
  3. 3.Aditya and Nisha together finish a job in 5 days. Aditya alone takes 10 days. How many days would Nisha take alone?
  4. 4.Sneha can finish a job in 8 days and Diya in 4 days. Sneha works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  5. 5.Zoya can finish a job in 28 days and Manav in 21 days. Zoya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  6. 6.Kabir works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  7. 7.Diya can finish a job in 4 days and Manav in 20 days. Diya works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  8. 8.Vivaan can finish a job in 4 days and Karan in 10 days. Vivaan works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  9. 9.Pooja works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  10. 10.Ishaan can finish a job in 19 days and Kabir in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Dev can finish a job in 24 days and Meera in 12 days. Dev works alone for 22 days and then stops. Meera finishes the rest. How many days does Meera take?
  12. 12.Rahul and Sneha together finish a job in 3 days. Rahul alone takes 6 days. How many days would Sneha take alone?
  13. 13.Ishaan can finish a job in 16 days and Farhan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Dev and Nisha together finish a job in 3 days. Dev alone takes 4 days. How many days would Nisha take alone?
  15. 15.Aarav can finish a job in 6 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Farhan can finish a job in 28 days and Tara in 8 days. Farhan works alone for 14 days and then stops. Tara finishes the rest. How many days does Tara take?
  17. 17.Aarav works three times as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  18. 18.Vivaan can finish a job in 20 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Rohan and Kavya together finish a job in 4 days. Rohan alone takes 12 days. How many days would Kavya take alone?
  20. 20.Dev and Manav together finish a job in 5 days. Dev alone takes 10 days. How many days would Manav take alone?
  21. 21.Ishaan can finish a job in 15 days and Meera in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Farhan can finish a job in 14 days and Dev in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Pooja works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  24. 24.Diya can finish a job in 16 days and Isha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Isha can finish a job in 20 days and Sneha in 14 days. Isha works alone for 10 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  26. 26.Ananya and Arjun together finish a job in 15 days. Ananya alone takes 18 days. How many days would Arjun take alone?
  27. 27.Diya can finish a job in 5 days and Manav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Rohan can finish a job in 13 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Manav and Karan together finish a job in 10 days. Manav alone takes 20 days. How many days would Karan take alone?
  30. 30.Manav can finish a job in 3 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Diya can finish a job in 3 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rahul can finish a job in 6 days and Pooja in 12 days. Rahul works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
  33. 33.Meera and Priya together finish a job in 3 days. Meera alone takes 12 days. How many days would Priya take alone?
  34. 34.Nisha can finish a job in 12 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Ishaan can finish a job in 6 days and Arjun in 27 days. Ishaan works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  36. 36.Priya can finish a job in 18 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Dev works twice as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  38. 38.Ananya works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  39. 39.Rahul and Priya together finish a job in 6 days. Rahul alone takes 8 days. How many days would Priya take alone?
  40. 40.Aditya works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?

Answer key

  1. 110/21
  2. 4
  3. 10
  4. 3
  5. 18
  6. 36
  7. 15
  8. 5
  9. 8
  10. 57/22
  11. 1
  12. 6
  13. 48/11
  14. 12
  15. 9/2
  16. 4
  17. 8
  18. 10/3
  19. 6
  20. 10
  21. 11/90
  22. 266/33
  23. 48
  24. 63/80
  25. 7
  26. 90
  27. 11/30
  28. 208/29
  29. 20
  30. 9/4
  31. 5/2
  32. 10
  33. 4
  34. 3
  35. 9
  36. 5/36
  37. 9
  38. 6
  39. 24
  40. 33

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