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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 271 · 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.Zoya can finish a job in 11 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Meera can finish a job in 19 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Meera can finish a job in 12 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Kabir works twice as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  5. 5.Manav works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  6. 6.Pooja can finish a job in 15 days and Isha in 30 days. Pooja works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  7. 7.Meera works three times as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
  8. 8.Rohan works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  9. 9.Isha can finish a job in 13 days and Priya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Tara works three times as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  11. 11.Ananya can finish a job in 10 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Arjun can finish a job in 14 days and Vivaan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Aarav can finish a job in 4 days and Arjun in 24 days. Aarav works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  14. 14.Kavya can finish a job in 16 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. =
  15. 15.Vivaan can finish a job in 6 days and Rohan in 30 days. Vivaan works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  16. 16.Isha and Kavya together finish a job in 5 days. Isha alone takes 6 days. How many days would Kavya take alone?
  17. 17.Rohan and Priya together finish a job in 7 days. Rohan alone takes 8 days. How many days would Priya take alone?
  18. 18.Meera can finish a job in 17 days and Rahul in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Rohan can finish a job in 18 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Dev works three times as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  21. 21.Tara and Dev together finish a job in 12 days. Tara alone takes 21 days. How many days would Dev take alone?
  22. 22.Rahul can finish a job in 8 days and Zoya in 16 days. Rahul works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  23. 23.Priya can finish a job in 8 days and Kabir in 24 days. Priya works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  24. 24.Aarav and Arjun together finish a job in 4 days. Aarav alone takes 8 days. How many days would Arjun take alone?
  25. 25.Isha can finish a job in 7 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Manav works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  27. 27.Aarav works three times as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  28. 28.Tara works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  29. 29.Aarav can finish a job in 15 days and Sneha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Isha works twice as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  31. 31.Aditya and Manav together finish a job in 3 days. Aditya alone takes 6 days. How many days would Manav take alone?
  32. 32.Isha can finish a job in 18 days and Rahul in 12 days. Isha works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  33. 33.Meera can finish a job in 3 days and Kabir in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Nisha can finish a job in 12 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Sneha can finish a job in 3 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Zoya can finish a job in 5 days and Manav in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Rahul can finish a job in 12 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Diya can finish a job in 5 days and Rahul in 10 days. Diya works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  39. 39.Kavya can finish a job in 5 days and Ananya in 15 days. Kavya works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  40. 40.Isha and Zoya together finish a job in 3 days. Isha alone takes 4 days. How many days would Zoya take alone?

Answer key

  1. 26/165
  2. 87/190
  3. 29/102
  4. 30
  5. 33
  6. 22
  7. 20
  8. 12
  9. 48/143
  10. 48
  11. 130/23
  12. 9/28
  13. 12
  14. 16/3
  15. 15
  16. 30
  17. 56
  18. 238/31
  19. 36/5
  20. 36
  21. 28
  22. 14
  23. 6
  24. 8
  25. 14/9
  26. 18
  27. 16
  28. 48
  29. 23/60
  30. 18
  31. 6
  32. 10
  33. 39/16
  34. 17/60
  35. 48/19
  36. 19/35
  37. 17/30
  38. 4
  39. 6
  40. 12

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