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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 98 · 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.Pooja can finish a job in 24 days and Meera in 30 days. Pooja works alone for 20 days and then stops. Meera finishes the rest. How many days does Meera take?
  2. 2.Vivaan and Rahul together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Rahul take alone?
  3. 3.Aarav and Manav together finish a job in 2 days. Aarav alone takes 3 days. How many days would Manav take alone?
  4. 4.Sneha works twice as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  5. 5.Isha can finish a job in 8 days and Diya in 12 days. Isha works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  6. 6.Kabir can finish a job in 16 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Zoya and Sneha together finish a job in 10 days. Zoya alone takes 15 days. How many days would Sneha take alone?
  8. 8.Manav can finish a job in 6 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Rohan works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  10. 10.Rahul works three times as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  11. 11.Arjun works twice as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  12. 12.Ishaan and Pooja together finish a job in 6 days. Ishaan alone takes 18 days. How many days would Pooja take alone?
  13. 13.Zoya can finish a job in 17 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Farhan can finish a job in 19 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. =
  15. 15.Kabir works twice as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  16. 16.Pooja and Arjun together finish a job in 2 days. Pooja alone takes 3 days. How many days would Arjun take alone?
  17. 17.Ishaan can finish a job in 6 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Dev and Sneha together finish a job in 6 days. Dev alone takes 12 days. How many days would Sneha take alone?
  19. 19.Diya can finish a job in 18 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Aarav can finish a job in 20 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rahul and Ananya together finish a job in 6 days. Rahul alone takes 7 days. How many days would Ananya take alone?
  22. 22.Ananya can finish a job in 2 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Meera works twice as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  24. 24.Ishaan works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  25. 25.Dev can finish a job in 10 days and Kabir in 30 days. Dev works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  26. 26.Rohan can finish a job in 13 days and Tara in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Dev works twice as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  28. 28.Diya can finish a job in 16 days and Ananya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Diya and Dev together finish a job in 6 days. Diya alone takes 10 days. How many days would Dev take alone?
  30. 30.Priya can finish a job in 9 days and Kavya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Zoya can finish a job in 11 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Diya can finish a job in 16 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Dev can finish a job in 9 days and Diya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Manav can finish a job in 2 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aditya can finish a job in 16 days and Kavya in 28 days. Aditya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  36. 36.Saanvi and Tara together finish a job in 4 days. Saanvi alone takes 5 days. How many days would Tara take alone?
  37. 37.Isha and Nisha together finish a job in 6 days. Isha alone takes 8 days. How many days would Nisha take alone?
  38. 38.Dev works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  39. 39.Zoya can finish a job in 6 days and Tara in 24 days. Zoya works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  40. 40.Ananya can finish a job in 15 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. =

Answer key

  1. 5
  2. 6
  3. 6
  4. 9
  5. 6
  6. 35/304
  7. 30
  8. 13/30
  9. 44
  10. 44
  11. 21
  12. 9
  13. 68/21
  14. 171/28
  15. 18
  16. 6
  17. 2
  18. 12
  19. 9/5
  20. 260/33
  21. 42
  22. 4/3
  23. 21
  24. 16
  25. 6
  26. 195/28
  27. 9
  28. 16/3
  29. 15
  30. 72/17
  31. 187/28
  32. 15/16
  33. 7/12
  34. 8/5
  35. 21
  36. 20
  37. 24
  38. 27
  39. 4
  40. 30/17

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