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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 305 · 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 16 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Manav can finish a job in 18 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Farhan can finish a job in 7 days and Diya in 28 days. Farhan works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  4. 4.Isha and Farhan together finish a job in 12 days. Isha alone takes 14 days. How many days would Farhan take alone?
  5. 5.Rahul and Karan together finish a job in 2 days. Rahul alone takes 4 days. How many days would Karan take alone?
  6. 6.Aarav can finish a job in 17 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Saanvi can finish a job in 9 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Priya can finish a job in 27 days and Farhan in 30 days. Priya works alone for 9 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  9. 9.Tara and Diya together finish a job in 6 days. Tara alone takes 15 days. How many days would Diya take alone?
  10. 10.Kavya can finish a job in 10 days and Isha in 25 days. Kavya works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  11. 11.Ishaan and Ananya together finish a job in 8 days. Ishaan alone takes 9 days. How many days would Ananya take alone?
  12. 12.Meera and Arjun together finish a job in 2 days. Meera alone takes 3 days. How many days would Arjun take alone?
  13. 13.Karan can finish a job in 5 days and Vivaan in 10 days. Karan works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  14. 14.Pooja can finish a job in 17 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Vivaan can finish a job in 9 days and Meera in 21 days. Vivaan works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  16. 16.Rahul can finish a job in 7 days and Aarav in 21 days. Rahul works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  17. 17.Aarav can finish a job in 14 days and Kavya in 26 days. Aarav works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  18. 18.Aarav works twice as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  19. 19.Isha works twice as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
  20. 20.Aarav can finish a job in 10 days and Saanvi in 20 days. Aarav works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  21. 21.Zoya can finish a job in 4 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Aarav can finish a job in 11 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan can finish a job in 11 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Arjun can finish a job in 6 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Aarav can finish a job in 17 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Aarav can finish a job in 3 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. =
  27. 27.Rohan 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. =
  28. 28.Nisha can finish a job in 13 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Saanvi can finish a job in 12 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Ananya works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  31. 31.Priya can finish a job in 9 days and Ananya in 27 days. Priya works alone for 7 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  32. 32.Dev works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  33. 33.Farhan can finish a job in 8 days and Vivaan in 18 days. Farhan works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  34. 34.Rohan works twice as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
  35. 35.Rahul can finish a job in 6 days and Meera in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Farhan works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  37. 37.Rahul works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  38. 38.Arjun works three times as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  39. 39.Diya and Manav together finish a job in 10 days. Diya alone takes 30 days. How many days would Manav take alone?
  40. 40.Aarav can finish a job in 17 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 5/16
  2. 144/17
  3. 24
  4. 84
  5. 4
  6. 136/25
  7. 45/8
  8. 20
  9. 10
  10. 20
  11. 72
  12. 6
  13. 4
  14. 238/31
  15. 14
  16. 3
  17. 13
  18. 9
  19. 30
  20. 10
  21. 20/7
  22. 22/13
  23. 28/187
  24. 10/21
  25. 323/36
  26. 18/7
  27. 342/37
  28. 78/19
  29. 3/10
  30. 12
  31. 6
  32. 6
  33. 9
  34. 36
  35. 42/13
  36. 24
  37. 8
  38. 48
  39. 15
  40. 221/30

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