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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 111 · 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.Rohan can finish a job in 20 days and Karan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Farhan can finish a job in 12 days and Rahul in 6 days. Farhan works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  3. 3.Tara can finish a job in 13 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Tara can finish a job in 18 days and Kabir in 27 days. Tara works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  5. 5.Vivaan and Sneha together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Sneha take alone?
  6. 6.Sneha can finish a job in 27 days and Manav in 30 days. Sneha works alone for 9 days and then stops. Manav finishes the rest. How many days does Manav take?
  7. 7.Aarav and Kabir together finish a job in 3 days. Aarav alone takes 4 days. How many days would Kabir take alone?
  8. 8.Meera and Sneha together finish a job in 2 days. Meera alone takes 4 days. How many days would Sneha take alone?
  9. 9.Diya and Kabir together finish a job in 6 days. Diya alone takes 9 days. How many days would Kabir take alone?
  10. 10.Aarav can finish a job in 20 days and Dev in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Isha can finish a job in 2 days and Pooja in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Sneha can finish a job in 6 days and Ishaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Farhan can finish a job in 7 days and Karan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Zoya can finish a job in 4 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Priya can finish a job in 14 days and Meera in 7 days. Priya works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
  16. 16.Nisha can finish a job in 9 days and Saanvi in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Zoya can finish a job in 14 days and Tara in 28 days. Zoya works alone for 11 days and then stops. Tara finishes the rest. How many days does Tara take?
  18. 18.Rohan can finish a job in 5 days and Ishaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Farhan and Dev together finish a job in 2 days. Farhan alone takes 4 days. How many days would Dev take alone?
  20. 20.Rohan can finish a job in 17 days and Tara in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Nisha works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  22. 22.Arjun can finish a job in 6 days and Karan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Farhan works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  24. 24.Zoya and Nisha together finish a job in 3 days. Zoya alone takes 4 days. How many days would Nisha take alone?
  25. 25.Rohan can finish a job in 17 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Meera can finish a job in 16 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Kabir works three times as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  28. 28.Sneha and Dev together finish a job in 9 days. Sneha alone takes 10 days. How many days would Dev take alone?
  29. 29.Rahul can finish a job in 11 days and Ananya in 22 days. Rahul works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  30. 30.Vivaan can finish a job in 5 days and Isha in 25 days. Vivaan works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
  31. 31.Priya can finish a job in 20 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Pooja can finish a job in 8 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Ananya can finish a job in 16 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Saanvi works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  35. 35.Sneha can finish a job in 15 days and Zoya in 5 days. Sneha works alone for 12 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  36. 36.Aditya can finish a job in 17 days and Zoya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Zoya works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  38. 38.Meera can finish a job in 30 days and Manav in 6 days. Meera works alone for 10 days and then stops. Manav finishes the rest. How many days does Manav take?
  39. 39.Saanvi can finish a job in 10 days and Manav in 15 days. Saanvi works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  40. 40.Zoya can finish a job in 8 days and Arjun in 12 days. Zoya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?

Answer key

  1. 1/2
  2. 4
  3. 91/20
  4. 21
  5. 6
  6. 20
  7. 12
  8. 4
  9. 18
  10. 9/80
  11. 10/7
  12. 114/25
  13. 11/28
  14. 3
  15. 1
  16. 8/15
  17. 6
  18. 35/12
  19. 4
  20. 28/187
  21. 16
  22. 4
  23. 20
  24. 12
  25. 35/102
  26. 80/21
  27. 36
  28. 90
  29. 12
  30. 20
  31. 81/140
  32. 21/52
  33. 25/72
  34. 40
  35. 1
  36. 27/170
  37. 48
  38. 4
  39. 12
  40. 6

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