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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 184 · 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.Ishaan can finish a job in 20 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Sneha can finish a job in 28 days and Aarav in 21 days. Sneha works alone for 24 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  3. 3.Kavya works twice as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  4. 4.Priya can finish a job in 13 days and Ishaan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Dev can finish a job in 7 days and Rahul in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Aditya can finish a job in 8 days and Kavya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Isha can finish a job in 3 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Rohan can finish a job in 20 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Priya can finish a job in 6 days and Diya in 20 days. Priya works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  10. 10.Sneha works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  11. 11.Meera can finish a job in 20 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Dev can finish a job in 18 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. =
  13. 13.Isha can finish a job in 6 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Saanvi works three times as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  15. 15.Karan and Ishaan together finish a job in 15 days. Karan alone takes 18 days. How many days would Ishaan take alone?
  16. 16.Rohan works three times as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
  17. 17.Manav can finish a job in 22 days and Dev in 11 days. Manav works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  18. 18.Arjun can finish a job in 6 days and Isha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Vivaan can finish a job in 7 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kabir can finish a job in 24 days and Aarav in 12 days. Kabir works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  21. 21.Saanvi and Meera together finish a job in 8 days. Saanvi alone takes 9 days. How many days would Meera take alone?
  22. 22.Rahul can finish a job in 19 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Aarav can finish a job in 8 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Saanvi works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  25. 25.Tara and Manav together finish a job in 5 days. Tara alone takes 10 days. How many days would Manav take alone?
  26. 26.Isha and Aarav together finish a job in 4 days. Isha alone takes 8 days. How many days would Aarav take alone?
  27. 27.Saanvi can finish a job in 2 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  29. 29.Arjun and Meera together finish a job in 5 days. Arjun alone takes 30 days. How many days would Meera take alone?
  30. 30.Kabir can finish a job in 7 days and Diya in 14 days. Kabir works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Isha can finish a job in 13 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Meera can finish a job in 10 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Farhan can finish a job in 12 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Dev works twice as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
  35. 35.Pooja can finish a job in 6 days and Ishaan in 12 days. Pooja works alone for 5 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  36. 36.Karan can finish a job in 16 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir and Rahul together finish a job in 2 days. Kabir alone takes 3 days. How many days would Rahul take alone?
  38. 38.Rahul works twice as fast as Dev. Together they finish a job in 10 days. How many days would Dev take alone?
  39. 39.Sneha works three times as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  40. 40.Zoya can finish a job in 20 days and Sneha in 10 days. Zoya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?

Answer key

  1. 140/27
  2. 3
  3. 33
  4. 33/260
  5. 11/28
  6. 21/52
  7. 33/14
  8. 340/37
  9. 10
  10. 12
  11. 20/11
  12. 18/7
  13. 13/60
  14. 36
  15. 90
  16. 36
  17. 8
  18. 5/6
  19. 35/12
  20. 10
  21. 72
  22. 33/133
  23. 8/5
  24. 6
  25. 10
  26. 8
  27. 10/7
  28. 18
  29. 6
  30. 8
  31. 81/182
  32. 21/55
  33. 7/36
  34. 24
  35. 2
  36. 80/21
  37. 6
  38. 30
  39. 40
  40. 9

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