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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 100 · 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.Isha can finish a job in 15 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Saanvi can finish a job in 12 days and Pooja in 24 days. Saanvi works alone for 6 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  3. 3.Meera works twice as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  4. 4.Kabir can finish a job in 17 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Aarav can finish a job in 10 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Aarav works three times as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  7. 7.Meera can finish a job in 16 days and Manav in 12 days. Meera works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  8. 8.Saanvi can finish a job in 7 days and Rohan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Isha can finish a job in 10 days and Diya in 25 days. Isha works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  10. 10.Dev and Nisha together finish a job in 6 days. Dev alone takes 12 days. How many days would Nisha take alone?
  11. 11.Sneha works twice as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  12. 12.Vivaan can finish a job in 8 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Diya can finish a job in 10 days and Isha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Meera works three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  15. 15.Dev can finish a job in 4 days and Arjun in 28 days. Dev works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  16. 16.Manav can finish a job in 4 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Sneha can finish a job in 2 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera can finish a job in 20 days and Rahul in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Priya works twice as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  20. 20.Sneha can finish a job in 20 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Nisha can finish a job in 20 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Priya works twice as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  23. 23.Tara can finish a job in 10 days and Arjun in 20 days. Tara works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  24. 24.Tara can finish a job in 6 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Karan works twice as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
  26. 26.Rahul works three times as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  27. 27.Dev works twice as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  28. 28.Zoya can finish a job in 9 days and Ananya in 12 days. Zoya works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  29. 29.Pooja works twice as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  30. 30.Aditya and Priya together finish a job in 2 days. Aditya alone takes 3 days. How many days would Priya take alone?
  31. 31.Kabir and Saanvi together finish a job in 4 days. Kabir alone takes 6 days. How many days would Saanvi take alone?
  32. 32.Diya and Rahul together finish a job in 6 days. Diya alone takes 7 days. How many days would Rahul take alone?
  33. 33.Priya can finish a job in 7 days and Tara in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Dev can finish a job in 4 days and Pooja in 8 days. Dev works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
  35. 35.Rohan can finish a job in 12 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav can finish a job in 14 days and Farhan in 28 days. Aarav works alone for 13 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  37. 37.Priya and Dev together finish a job in 6 days. Priya alone takes 7 days. How many days would Dev take alone?
  38. 38.Aditya and Nisha together finish a job in 2 days. Aditya alone takes 4 days. How many days would Nisha take alone?
  39. 39.Vivaan can finish a job in 16 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Dev works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?

Answer key

  1. 11/30
  2. 12
  3. 30
  4. 306/35
  5. 130/23
  6. 28
  7. 9
  8. 15/28
  9. 20
  10. 12
  11. 6
  12. 136/25
  13. 6
  14. 8
  15. 14
  16. 2/3
  17. 9/5
  18. 20/3
  19. 24
  20. 60/7
  21. 3/5
  22. 15
  23. 12
  24. 66/17
  25. 36
  26. 44
  27. 6
  28. 4
  29. 15
  30. 6
  31. 12
  32. 42
  33. 11/14
  34. 6
  35. 48/7
  36. 2
  37. 42
  38. 4
  39. 48/11
  40. 30

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