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Time and Work Worksheet

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

Answer key

  1. 6
  2. 29/208
  3. 2
  4. 22
  5. 24
  6. 29/99
  7. 6
  8. 6
  9. 12/5
  10. 10/3
  11. 24/95
  12. 12
  13. 75/136
  14. 14
  15. 112/15
  16. 63/80
  17. 12/5
  18. 11/30
  19. 24/119
  20. 170/27
  21. 12
  22. 60/17
  23. 28
  24. 4
  25. 10
  26. 2
  27. 9/40
  28. 6
  29. 11/30
  30. 5/3
  31. 81/152
  32. 1/3
  33. 28
  34. 27
  35. 8
  36. 12
  37. 11
  38. 140/27
  39. 6
  40. 130/23

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