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Time and Work Worksheet

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

Answer key

  1. 51/20
  2. 24
  3. 3
  4. 7/4
  5. 8
  6. 17/26
  7. 4/15
  8. 10/3
  9. 68/21
  10. 4
  11. 342/37
  12. 57/22
  13. 17/52
  14. 90
  15. 1/2
  16. 171/28
  17. 12
  18. 13
  19. 2
  20. 84
  21. 30
  22. 17/20
  23. 20
  24. 19/26
  25. 6
  26. 44
  27. 17/26
  28. 19/35
  29. 11
  30. 34/95
  31. 18
  32. 5/9
  33. 36/5
  34. 24
  35. 24
  36. 4
  37. 8/15
  38. 6
  39. 15/8
  40. 12

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