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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 52 · 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.Saanvi can finish a job in 13 days and Zoya in 26 days. Saanvi works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  2. 2.Nisha can finish a job in 17 days and Zoya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Karan and Kabir together finish a job in 6 days. Karan alone takes 7 days. How many days would Kabir take alone?
  4. 4.Arjun can finish a job in 4 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Manav can finish a job in 4 days and Dev in 8 days. Manav works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  6. 6.Ishaan can finish a job in 10 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya can finish a job in 19 days and Zoya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Ananya works three times as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  9. 9.Arjun can finish a job in 2 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kavya can finish a job in 14 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera works twice as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  12. 12.Aarav can finish a job in 19 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 16 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Ishaan can finish a job in 26 days and Aarav in 6 days. Ishaan works alone for 13 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  15. 15.Arjun can finish a job in 10 days and Manav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Farhan can finish a job in 11 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ishaan works three times as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  18. 18.Sneha can finish a job in 14 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Diya can finish a job in 9 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Sneha can finish a job in 16 days and Tara in 26 days. Sneha works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  21. 21.Aarav can finish a job in 20 days and Rohan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Ishaan and Diya together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Diya take alone?
  23. 23.Karan can finish a job in 6 days and Tara in 18 days. Karan works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  24. 24.Sneha works three times as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  25. 25.Aarav can finish a job in 4 days and Ishaan in 12 days. Aarav works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  26. 26.Tara works three times as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  27. 27.Sneha can finish a job in 20 days and Manav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Kavya works twice as fast as Farhan. Together they finish a job in 11 days. How many days would Farhan take alone?
  29. 29.Rohan can finish a job in 16 days and Vivaan in 8 days. Rohan works alone for 12 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  30. 30.Aditya works twice as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  31. 31.Priya can finish a job in 13 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. =
  32. 32.Saanvi works twice as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
  33. 33.Ananya can finish a job in 11 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aditya and Nisha together finish a job in 6 days. Aditya alone takes 15 days. How many days would Nisha take alone?
  35. 35.Vivaan and Ishaan together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Ishaan take alone?
  36. 36.Farhan can finish a job in 20 days and Aarav in 5 days. Farhan works alone for 12 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  37. 37.Kavya works three times as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  38. 38.Sneha can finish a job in 15 days and Aarav in 27 days. Sneha works alone for 10 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  39. 39.Rohan can finish a job in 20 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Zoya and Farhan together finish a job in 8 days. Zoya alone takes 9 days. How many days would Farhan take alone?

Answer key

  1. 22
  2. 340/37
  3. 42
  4. 10/3
  5. 4
  6. 5/3
  7. 34/285
  8. 20
  9. 3/2
  10. 238/31
  11. 30
  12. 114/25
  13. 48/11
  14. 3
  15. 8/15
  16. 99/20
  17. 28
  18. 27/182
  19. 56/171
  20. 13
  21. 40/7
  22. 6
  23. 3
  24. 44
  25. 3
  26. 12
  27. 20/11
  28. 33
  29. 2
  30. 30
  31. 78/19
  32. 21
  33. 187/28
  34. 10
  35. 4
  36. 2
  37. 24
  38. 9
  39. 40/7
  40. 72

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