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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 268 · 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 18 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Pooja and Meera together finish a job in 7 days. Pooja alone takes 14 days. How many days would Meera take alone?
  3. 3.Dev can finish a job in 7 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aditya can finish a job in 6 days and Karan in 9 days. Aditya works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  5. 5.Saanvi can finish a job in 11 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. =
  6. 6.Aarav can finish a job in 20 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Aarav can finish a job in 17 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Vivaan can finish a job in 15 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Meera can finish a job in 16 days and Zoya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Kabir and Aarav together finish a job in 4 days. Kabir alone takes 5 days. How many days would Aarav take alone?
  11. 11.Tara can finish a job in 22 days and Manav in 11 days. Tara works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  12. 12.Saanvi can finish a job in 24 days and Rahul in 28 days. Saanvi works alone for 18 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  13. 13.Kavya can finish a job in 6 days and Sneha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Priya can finish a job in 22 days and Rohan in 11 days. Priya works alone for 18 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  15. 15.Karan can finish a job in 30 days and Diya in 18 days. Karan works alone for 20 days and then stops. Diya finishes the rest. How many days does Diya take?
  16. 16.Aditya and Kabir together finish a job in 2 days. Aditya alone takes 3 days. How many days would Kabir take alone?
  17. 17.Farhan works twice as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  18. 18.Rohan can finish a job in 6 days and Rahul in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Kabir and Ananya together finish a job in 6 days. Kabir alone takes 9 days. How many days would Ananya take alone?
  20. 20.Rohan and Saanvi together finish a job in 4 days. Rohan alone takes 12 days. How many days would Saanvi take alone?
  21. 21.Manav and Ananya together finish a job in 6 days. Manav alone takes 15 days. How many days would Ananya take alone?
  22. 22.Meera and Karan together finish a job in 6 days. Meera alone takes 18 days. How many days would Karan take alone?
  23. 23.Arjun can finish a job in 18 days and Isha in 21 days. Arjun works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  24. 24.Nisha can finish a job in 5 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Kabir and Diya together finish a job in 3 days. Kabir alone takes 4 days. How many days would Diya take alone?
  26. 26.Arjun can finish a job in 19 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Farhan works three times as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
  28. 28.Zoya works three times as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  29. 29.Sneha can finish a job in 17 days and Rohan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Aditya and Dev together finish a job in 4 days. Aditya alone takes 12 days. How many days would Dev take alone?
  31. 31.Farhan can finish a job in 6 days and Karan in 12 days. Farhan works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  32. 32.Rohan can finish a job in 3 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Nisha and Ishaan together finish a job in 2 days. Nisha alone takes 3 days. How many days would Ishaan take alone?
  34. 34.Isha and Aarav together finish a job in 2 days. Isha alone takes 3 days. How many days would Aarav take alone?
  35. 35.Karan can finish a job in 18 days and Vivaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav and Karan together finish a job in 6 days. Aarav alone takes 15 days. How many days would Karan take alone?
  37. 37.Ananya can finish a job in 7 days and Nisha in 28 days. Ananya works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  38. 38.Rohan works three times as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  39. 39.Karan can finish a job in 9 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Aditya can finish a job in 15 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. =

Answer key

  1. 2/3
  2. 14
  3. 133/26
  4. 6
  5. 143/24
  6. 340/37
  7. 306/35
  8. 240/31
  9. 35/304
  10. 20
  11. 9
  12. 7
  13. 4/15
  14. 2
  15. 6
  16. 6
  17. 15
  18. 25/114
  19. 18
  20. 6
  21. 10
  22. 9
  23. 14
  24. 54/65
  25. 12
  26. 171/28
  27. 32
  28. 20
  29. 56/187
  30. 6
  31. 4
  32. 60/23
  33. 6
  34. 6
  35. 126/25
  36. 10
  37. 8
  38. 20
  39. 16/21
  40. 165/26

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