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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 155 · 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.Tara can finish a job in 14 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Karan and Dev together finish a job in 6 days. Karan alone takes 24 days. How many days would Dev take alone?
  3. 3.Sneha can finish a job in 13 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Nisha works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  5. 5.Aarav and Farhan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Farhan take alone?
  6. 6.Diya can finish a job in 17 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Rohan can finish a job in 12 days and Saanvi in 8 days. Rohan works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  8. 8.Ishaan and Aarav together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Aarav take alone?
  9. 9.Rohan can finish a job in 10 days and Zoya in 30 days. Rohan works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  10. 10.Pooja can finish a job in 5 days and Manav in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Isha can finish a job in 10 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Zoya and Arjun together finish a job in 12 days. Zoya alone takes 18 days. How many days would Arjun take alone?
  13. 13.Aarav works three times as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  14. 14.Meera can finish a job in 8 days and Kavya in 16 days. Meera works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Kavya can finish a job in 17 days and Diya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Priya can finish a job in 6 days and Ananya in 18 days. Priya works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  17. 17.Aarav works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  18. 18.Manav can finish a job in 7 days and Sneha in 21 days. Manav works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  19. 19.Manav and Arjun together finish a job in 8 days. Manav alone takes 16 days. How many days would Arjun take alone?
  20. 20.Rahul can finish a job in 15 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Kabir can finish a job in 6 days and Aarav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Ishaan and Farhan together finish a job in 9 days. Ishaan alone takes 10 days. How many days would Farhan take alone?
  23. 23.Dev can finish a job in 16 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Tara can finish a job in 4 days and Saanvi in 14 days. Tara works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  25. 25.Sneha can finish a job in 16 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Priya can finish a job in 16 days and Pooja in 4 days. Priya works alone for 12 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  27. 27.Ishaan can finish a job in 6 days and Diya in 30 days. Ishaan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  28. 28.Aarav can finish a job in 14 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Nisha can finish a job in 6 days and Farhan in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Dev can finish a job in 8 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Pooja works three times as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
  32. 32.Nisha can finish a job in 5 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan can finish a job in 12 days and Meera in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Aarav and Farhan together finish a job in 9 days. Aarav alone takes 10 days. How many days would Farhan take alone?
  35. 35.Vivaan can finish a job in 10 days and Diya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Pooja can finish a job in 4 days and Diya in 20 days. Pooja works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  37. 37.Rahul can finish a job in 15 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Isha and Manav together finish a job in 2 days. Isha alone takes 3 days. How many days would Manav take alone?
  39. 39.Karan can finish a job in 3 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Meera can finish a job in 7 days and Ishaan in 21 days. Meera works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?

Answer key

  1. 182/27
  2. 8
  3. 130/23
  4. 27
  5. 6
  6. 21/68
  7. 2
  8. 12
  9. 24
  10. 1/2
  11. 60/11
  12. 36
  13. 28
  14. 8
  15. 30/221
  16. 9
  17. 12
  18. 15
  19. 16
  20. 255/32
  21. 114/25
  22. 90
  23. 48/7
  24. 7
  25. 16/5
  26. 1
  27. 20
  28. 8/21
  29. 17/22
  30. 3/16
  31. 32
  32. 95/24
  33. 17/20
  34. 90
  35. 27/85
  36. 10
  37. 20/3
  38. 6
  39. 2
  40. 18

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