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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 126 · 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.Aarav and Manav together finish a job in 2 days. Aarav alone takes 3 days. How many days would Manav take alone?
  2. 2.Isha can finish a job in 5 days and Meera in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Karan can finish a job in 9 days and Tara in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Rohan can finish a job in 3 days and Vivaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Isha works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  6. 6.Zoya can finish a job in 25 days and Rahul in 15 days. Zoya works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  7. 7.Diya and Karan together finish a job in 6 days. Diya alone takes 24 days. How many days would Karan take alone?
  8. 8.Karan works three times as fast as Dev. Together they finish a job in 7 days. How many days would Dev take alone?
  9. 9.Aditya and Meera together finish a job in 15 days. Aditya alone takes 18 days. How many days would Meera take alone?
  10. 10.Kabir can finish a job in 21 days and Sneha in 14 days. Kabir works alone for 18 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  11. 11.Kavya and Manav together finish a job in 5 days. Kavya alone takes 10 days. How many days would Manav take alone?
  12. 12.Aditya and Diya together finish a job in 2 days. Aditya alone takes 4 days. How many days would Diya take alone?
  13. 13.Ishaan can finish a job in 11 days and Kabir in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Vivaan can finish a job in 7 days and Isha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Sneha can finish a job in 10 days and Vivaan in 30 days. Sneha works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  16. 16.Pooja can finish a job in 13 days and Diya in 26 days. Pooja works alone for 9 days and then stops. Diya finishes the rest. How many days does Diya take?
  17. 17.Pooja can finish a job in 6 days and Arjun in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Dev can finish a job in 16 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Meera can finish a job in 6 days and Saanvi in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Meera can finish a job in 13 days and Arjun in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Arjun and Manav together finish a job in 5 days. Arjun alone takes 10 days. How many days would Manav take alone?
  22. 22.Ishaan can finish a job in 17 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Arjun and Ananya together finish a job in 6 days. Arjun alone takes 15 days. How many days would Ananya take alone?
  24. 24.Rahul can finish a job in 13 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ishaan can finish a job in 19 days and Vivaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Nisha and Rahul together finish a job in 5 days. Nisha alone takes 10 days. How many days would Rahul take alone?
  27. 27.Meera can finish a job in 7 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Kabir and Nisha together finish a job in 2 days. Kabir alone takes 3 days. How many days would Nisha take alone?
  29. 29.Kabir can finish a job in 6 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Meera can finish a job in 17 days and Sneha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Tara can finish a job in 15 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Isha and Pooja together finish a job in 12 days. Isha alone takes 21 days. How many days would Pooja take alone?
  33. 33.Aarav can finish a job in 5 days and Karan in 25 days. Aarav works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  34. 34.Zoya and Meera together finish a job in 4 days. Zoya alone takes 8 days. How many days would Meera take alone?
  35. 35.Dev can finish a job in 13 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Rahul and Aarav together finish a job in 3 days. Rahul alone takes 4 days. How many days would Aarav take alone?
  37. 37.Diya can finish a job in 10 days and Saanvi in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Isha works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  39. 39.Rohan can finish a job in 11 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Rahul can finish a job in 15 days and Nisha in 30 days. Rahul works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?

Answer key

  1. 6
  2. 9/20
  3. 5/6
  4. 51/20
  5. 24
  6. 6
  7. 8
  8. 28
  9. 90
  10. 2
  11. 10
  12. 4
  13. 23/44
  14. 105/22
  15. 15
  16. 8
  17. 11/30
  18. 7/16
  19. 9/2
  20. 234/31
  21. 10
  22. 255/32
  23. 10
  24. 26/15
  25. 285/34
  26. 10
  27. 126/25
  28. 6
  29. 5/21
  30. 255/32
  31. 30/7
  32. 28
  33. 10
  34. 8
  35. 26/15
  36. 12
  37. 5/3
  38. 36
  39. 52/165
  40. 22

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