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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 487 · 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.Kabir can finish a job in 15 days and Karan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Meera works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  3. 3.Aarav can finish a job in 6 days and Rahul in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Kabir can finish a job in 5 days and Priya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Arjun can finish a job in 18 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. =
  6. 6.Karan can finish a job in 18 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Rahul can finish a job in 14 days and Sneha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Saanvi can finish a job in 17 days and Ishaan in 3 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 19 days and Diya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Saanvi can finish a job in 18 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ananya can finish a job in 19 days and Aditya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Rahul can finish a job in 5 days and Kabir in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Manav works twice as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  14. 14.Ananya and Saanvi together finish a job in 16 days. Ananya alone takes 24 days. How many days would Saanvi take alone?
  15. 15.Vivaan can finish a job in 28 days and Sneha in 14 days. Vivaan works alone for 16 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  16. 16.Arjun works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  17. 17.Tara can finish a job in 10 days and Vivaan in 20 days. Tara works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  18. 18.Ananya can finish a job in 20 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. =
  19. 19.Isha can finish a job in 12 days and Manav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Arjun can finish a job in 14 days and Rahul in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Rohan can finish a job in 5 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Meera can finish a job in 14 days and Aarav in 18 days. Meera works alone for 7 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  23. 23.Nisha and Meera together finish a job in 2 days. Nisha alone takes 4 days. How many days would Meera take alone?
  24. 24.Arjun can finish a job in 7 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Arjun and Ishaan together finish a job in 14 days. Arjun alone takes 18 days. How many days would Ishaan take alone?
  26. 26.Saanvi works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  27. 27.Arjun works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  28. 28.Priya works twice as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  29. 29.Kabir can finish a job in 24 days and Vivaan in 12 days. Kabir works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  30. 30.Isha works three times as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  31. 31.Arjun works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  32. 32.Farhan works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  33. 33.Sneha works twice as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  34. 34.Tara works twice as fast as Dev. Together they finish a job in 10 days. How many days would Dev take alone?
  35. 35.Rohan can finish a job in 10 days and Priya in 15 days. Rohan works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  36. 36.Diya works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  37. 37.Farhan works three times as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
  38. 38.Sneha and Karan together finish a job in 3 days. Sneha alone takes 4 days. How many days would Karan take alone?
  39. 39.Kabir works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
  40. 40.Pooja works three times as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?

Answer key

  1. 6
  2. 20
  3. 4/15
  4. 9/10
  5. 72/13
  6. 45/7
  7. 14/3
  8. 51/20
  9. 78/133
  10. 36/5
  11. 266/33
  12. 15/8
  13. 9
  14. 48
  15. 6
  16. 32
  17. 12
  18. 20/3
  19. 36/7
  20. 27/28
  21. 12/35
  22. 9
  23. 4
  24. 14/3
  25. 63
  26. 18
  27. 18
  28. 12
  29. 9
  30. 48
  31. 15
  32. 36
  33. 30
  34. 30
  35. 12
  36. 33
  37. 32
  38. 12
  39. 12
  40. 12

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