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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 380 · 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 works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  2. 2.Saanvi works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  3. 3.Farhan can finish a job in 8 days and Aarav in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Nisha works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  5. 5.Tara works three times as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  6. 6.Meera can finish a job in 15 days and Aarav in 12 days. Meera works alone for 10 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  7. 7.Dev and Zoya together finish a job in 6 days. Dev alone takes 8 days. How many days would Zoya take alone?
  8. 8.Farhan works three times as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  9. 9.Nisha can finish a job in 15 days and Vivaan in 18 days. Nisha works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  10. 10.Arjun can finish a job in 16 days and Karan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Ishaan and Meera together finish a job in 6 days. Ishaan alone takes 9 days. How many days would Meera take alone?
  12. 12.Aarav works twice as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  13. 13.Isha can finish a job in 4 days and Rahul in 12 days. Isha works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  14. 14.Pooja and Farhan together finish a job in 4 days. Pooja alone takes 12 days. How many days would Farhan take alone?
  15. 15.Kavya can finish a job in 15 days and Vivaan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Karan can finish a job in 18 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Meera can finish a job in 25 days and Arjun in 10 days. Meera works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  18. 18.Meera and Priya together finish a job in 4 days. Meera alone takes 6 days. How many days would Priya take alone?
  19. 19.Tara works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  20. 20.Diya can finish a job in 12 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Saanvi and Kabir together finish a job in 4 days. Saanvi alone takes 6 days. How many days would Kabir take alone?
  22. 22.Arjun can finish a job in 8 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. =
  23. 23.Meera can finish a job in 7 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. =
  24. 24.Rahul and Ishaan together finish a job in 5 days. Rahul alone takes 10 days. How many days would Ishaan take alone?
  25. 25.Manav and Zoya together finish a job in 2 days. Manav alone takes 3 days. How many days would Zoya take alone?
  26. 26.Farhan can finish a job in 8 days and Pooja in 28 days. Farhan works alone for 6 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  27. 27.Manav can finish a job in 12 days and Meera in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Priya can finish a job in 4 days and Meera in 30 days. Priya works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  29. 29.Meera can finish a job in 15 days and Manav in 12 days. Meera works alone for 10 days and then stops. Manav finishes the rest. How many days does Manav take?
  30. 30.Aarav and Farhan together finish a job in 12 days. Aarav alone takes 15 days. How many days would Farhan take alone?
  31. 31.Zoya can finish a job in 4 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav and Karan together finish a job in 12 days. Aarav alone takes 20 days. How many days would Karan take alone?
  33. 33.Tara can finish a job in 8 days and Rahul in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kabir and Rohan together finish a job in 10 days. Kabir alone takes 12 days. How many days would Rohan take alone?
  35. 35.Tara can finish a job in 4 days and Rohan in 12 days. Tara works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  36. 36.Meera and Sneha together finish a job in 2 days. Meera alone takes 4 days. How many days would Sneha take alone?
  37. 37.Diya can finish a job in 9 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Aarav can finish a job in 10 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Dev and Karan together finish a job in 4 days. Dev alone takes 6 days. How many days would Karan take alone?
  40. 40.Karan and Vivaan together finish a job in 4 days. Karan alone takes 8 days. How many days would Vivaan take alone?

Answer key

  1. 36
  2. 48
  3. 7/20
  4. 18
  5. 48
  6. 4
  7. 24
  8. 40
  9. 6
  10. 35/152
  11. 18
  12. 15
  13. 6
  14. 6
  15. 26/165
  16. 234/31
  17. 6
  18. 12
  19. 20
  20. 60/17
  21. 12
  22. 56/15
  23. 63/16
  24. 10
  25. 6
  26. 7
  27. 84/19
  28. 15
  29. 4
  30. 60
  31. 4/3
  32. 30
  33. 8/5
  34. 60
  35. 3
  36. 4
  37. 23/63
  38. 170/27
  39. 12
  40. 8

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