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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 417 · 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.Meera can finish a job in 7 days and Dev in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kavya works three times as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  3. 3.Nisha can finish a job in 16 days and Zoya in 4 days. Nisha works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  4. 4.Isha can finish a job in 15 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Kabir can finish a job in 2 days and Kavya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev can finish a job in 19 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Meera can finish a job in 12 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Saanvi and Farhan together finish a job in 15 days. Saanvi alone takes 20 days. How many days would Farhan take alone?
  9. 9.Farhan and Dev together finish a job in 2 days. Farhan alone takes 6 days. How many days would Dev take alone?
  10. 10.Aarav can finish a job in 18 days and Aditya in 12 days. Aarav works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  11. 11.Pooja can finish a job in 18 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Arjun and Karan together finish a job in 4 days. Arjun alone takes 5 days. How many days would Karan take alone?
  13. 13.Nisha works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  14. 14.Ishaan works three times as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  15. 15.Zoya can finish a job in 17 days and Ishaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Karan can finish a job in 18 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Isha can finish a job in 15 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Tara can finish a job in 24 days and Ishaan in 12 days. Tara works alone for 22 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  19. 19.Manav can finish a job in 5 days and Rohan in 14 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 5 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Tara works three times as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  22. 22.Aditya works three times as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  23. 23.Saanvi can finish a job in 18 days and Ishaan in 12 days. Saanvi works alone for 9 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  24. 24.Saanvi can finish a job in 15 days and Kavya in 30 days. Saanvi works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  25. 25.Farhan can finish a job in 21 days and Isha in 6 days. Farhan works alone for 14 days and then stops. Isha finishes the rest. How many days does Isha take?
  26. 26.Rohan and Vivaan together finish a job in 5 days. Rohan alone takes 6 days. How many days would Vivaan take alone?
  27. 27.Meera can finish a job in 2 days and Rohan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Meera can finish a job in 8 days and Rahul in 16 days. Meera works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  29. 29.Rahul can finish a job in 20 days and Manav in 30 days. Rahul works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  30. 30.Diya can finish a job in 4 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ananya and Meera together finish a job in 2 days. Ananya alone takes 3 days. How many days would Meera take alone?
  32. 32.Pooja can finish a job in 15 days and Kabir in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Isha and Sneha together finish a job in 10 days. Isha alone takes 14 days. How many days would Sneha take alone?
  34. 34.Rahul works three times as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
  35. 35.Nisha can finish a job in 19 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Karan can finish a job in 16 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Sneha can finish a job in 18 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ananya can finish a job in 8 days and Karan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Rohan can finish a job in 2 days and Zoya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Tara and Sneha together finish a job in 12 days. Tara alone takes 20 days. How many days would Sneha take alone?

Answer key

  1. 119/24
  2. 48
  3. 2
  4. 68/285
  5. 16/9
  6. 95/24
  7. 132/23
  8. 60
  9. 3
  10. 6
  11. 2/9
  12. 20
  13. 36
  14. 36
  15. 272/33
  16. 11/30
  17. 30/7
  18. 1
  19. 70/19
  20. 4/15
  21. 40
  22. 20
  23. 6
  24. 14
  25. 2
  26. 30
  27. 22/13
  28. 10
  29. 21
  30. 12/7
  31. 6
  32. 44/105
  33. 35
  34. 40
  35. 266/33
  36. 31/80
  37. 72/13
  38. 25/136
  39. 22/13
  40. 30

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