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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 117 · 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 can finish a job in 4 days and Kabir in 20 days. Karan works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  2. 2.Zoya and Kavya together finish a job in 21 days. Zoya alone takes 28 days. How many days would Kavya take alone?
  3. 3.Pooja can finish a job in 30 days and Kabir in 18 days. Pooja works alone for 10 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Aditya and Nisha together finish a job in 2 days. Aditya alone takes 3 days. How many days would Nisha take alone?
  5. 5.Zoya can finish a job in 12 days and Dev in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Sneha can finish a job in 7 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ananya can finish a job in 20 days and Kabir in 10 days. Ananya works alone for 16 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  8. 8.Rohan can finish a job in 4 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ananya can finish a job in 18 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Nisha works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  11. 11.Nisha can finish a job in 10 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Manav can finish a job in 6 days and Aarav in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Meera and Isha together finish a job in 4 days. Meera alone takes 12 days. How many days would Isha take alone?
  14. 14.Vivaan can finish a job in 6 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Sneha and Tara together finish a job in 2 days. Sneha alone takes 3 days. How many days would Tara take alone?
  16. 16.Farhan works twice as fast as Aditya. Together they finish a job in 7 days. How many days would Aditya take alone?
  17. 17.Aditya can finish a job in 4 days and Pooja in 22 days. Aditya works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  18. 18.Rahul works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  19. 19.Saanvi can finish a job in 18 days and Tara in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Isha can finish a job in 11 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. =
  21. 21.Aarav works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  22. 22.Saanvi works twice as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  23. 23.Karan can finish a job in 12 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kabir works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  25. 25.Zoya can finish a job in 11 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Pooja and Vivaan together finish a job in 4 days. Pooja alone takes 6 days. How many days would Vivaan take alone?
  27. 27.Rohan can finish a job in 17 days and Tara in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan can finish a job in 10 days and Dev in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Karan can finish a job in 6 days and Kabir in 12 days. Karan works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  30. 30.Tara works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  31. 31.Vivaan and Manav together finish a job in 21 days. Vivaan alone takes 28 days. How many days would Manav take alone?
  32. 32.Ananya can finish a job in 7 days and Meera in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Zoya can finish a job in 7 days and Kavya in 28 days. Zoya works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  34. 34.Saanvi can finish a job in 11 days and Sneha in 22 days. Saanvi works alone for 8 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  35. 35.Tara can finish a job in 5 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Tara can finish a job in 13 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Aarav and Saanvi together finish a job in 2 days. Aarav alone takes 4 days. How many days would Saanvi take alone?
  38. 38.Isha works three times as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  39. 39.Aditya works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  40. 40.Rohan works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?

Answer key

  1. 5
  2. 84
  3. 12
  4. 6
  5. 84/13
  6. 14/3
  7. 2
  8. 8/3
  9. 45/7
  10. 18
  11. 11/20
  12. 2/3
  13. 6
  14. 11/30
  15. 6
  16. 21
  17. 11
  18. 24
  19. 8/63
  20. 66/17
  21. 36
  22. 6
  23. 12/5
  24. 6
  25. 18/77
  26. 12
  27. 119/24
  28. 21/110
  29. 2
  30. 8
  31. 84
  32. 12/35
  33. 24
  34. 6
  35. 15/8
  36. 23/130
  37. 4
  38. 40
  39. 16
  40. 28

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