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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 493 · 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.Arjun can finish a job in 13 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Dev can finish a job in 6 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Kavya works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  4. 4.Kavya works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  5. 5.Farhan can finish a job in 18 days and Rohan in 21 days. Farhan works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  6. 6.Ananya and Arjun together finish a job in 4 days. Ananya alone takes 5 days. How many days would Arjun take alone?
  7. 7.Isha can finish a job in 2 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Arjun can finish a job in 13 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Arjun can finish a job in 20 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Karan can finish a job in 12 days and Manav in 30 days. Karan works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  11. 11.Pooja can finish a job in 13 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Nisha can finish a job in 8 days and Tara in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Kabir works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  14. 14.Kavya can finish a job in 15 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Ananya works twice as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
  16. 16.Pooja and Diya together finish a job in 8 days. Pooja alone takes 9 days. How many days would Diya take alone?
  17. 17.Meera can finish a job in 14 days and Isha in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Ishaan can finish a job in 12 days and Rohan in 30 days. Ishaan works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  19. 19.Sneha can finish a job in 24 days and Aditya in 12 days. Sneha works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  20. 20.Zoya can finish a job in 18 days and Meera in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Aarav can finish a job in 5 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Priya can finish a job in 12 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Vivaan can finish a job in 12 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Aarav works twice as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
  25. 25.Zoya can finish a job in 13 days and Dev in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Priya works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  27. 27.Zoya and Kavya together finish a job in 2 days. Zoya alone takes 3 days. How many days would Kavya take alone?
  28. 28.Kabir can finish a job in 17 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ananya and Manav together finish a job in 2 days. Ananya alone takes 3 days. How many days would Manav take alone?
  30. 30.Diya can finish a job in 4 days and Nisha in 20 days. Diya works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  31. 31.Tara can finish a job in 14 days and Diya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Ananya and Tara together finish a job in 13 days. Ananya alone takes 26 days. How many days would Tara take alone?
  33. 33.Kavya can finish a job in 13 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan can finish a job in 5 days and Rahul in 10 days. Rohan works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  35. 35.Pooja can finish a job in 15 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav can finish a job in 4 days and Karan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Rohan can finish a job in 13 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Diya can finish a job in 3 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Priya and Dev together finish a job in 2 days. Priya alone takes 6 days. How many days would Dev take alone?
  40. 40.Arjun can finish a job in 16 days and Meera in 15 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 130/23
  2. 23/102
  3. 40
  4. 33
  5. 14
  6. 20
  7. 30/17
  8. 26/15
  9. 9/10
  10. 25
  11. 25/78
  12. 7/24
  13. 8
  14. 31/240
  15. 24
  16. 72
  17. 29/105
  18. 5
  19. 11
  20. 1/3
  21. 8/15
  22. 2/3
  23. 4
  24. 30
  25. 29/208
  26. 33
  27. 6
  28. 68/21
  29. 6
  30. 15
  31. 10/21
  32. 26
  33. 104/21
  34. 8
  35. 60/7
  36. 20/7
  37. 221/30
  38. 12/7
  39. 3
  40. 31/80

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