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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 354 · 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 and Farhan together finish a job in 12 days. Arjun alone takes 21 days. How many days would Farhan take alone?
  2. 2.Karan can finish a job in 5 days and Nisha in 20 days. Karan works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  3. 3.Saanvi can finish a job in 11 days and Tara in 22 days. Saanvi works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  4. 4.Diya can finish a job in 10 days and Isha in 30 days. Diya works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Farhan can finish a job in 18 days and Manav in 6 days. Farhan works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  6. 6.Karan can finish a job in 4 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Zoya and Rohan together finish a job in 3 days. Zoya alone takes 4 days. How many days would Rohan take alone?
  8. 8.Farhan and Vivaan together finish a job in 7 days. Farhan alone takes 8 days. How many days would Vivaan take alone?
  9. 9.Diya can finish a job in 10 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Karan and Zoya together finish a job in 6 days. Karan alone takes 24 days. How many days would Zoya take alone?
  11. 11.Aditya works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  12. 12.Ananya can finish a job in 14 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Diya can finish a job in 13 days and Vivaan in 26 days. Diya works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  14. 14.Kabir can finish a job in 19 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Isha can finish a job in 12 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Tara works three times as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
  17. 17.Isha can finish a job in 6 days and Aarav in 12 days. Isha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  18. 18.Arjun works twice as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  19. 19.Nisha works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  20. 20.Zoya works three times as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  21. 21.Priya and Ananya together finish a job in 6 days. Priya alone takes 9 days. How many days would Ananya take alone?
  22. 22.Isha works twice as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  23. 23.Nisha can finish a job in 20 days and Kabir in 28 days. Nisha works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  24. 24.Ishaan can finish a job in 9 days and Kavya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Dev can finish a job in 20 days and Isha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rohan works three times as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  27. 27.Vivaan works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  28. 28.Meera and Isha together finish a job in 2 days. Meera alone takes 3 days. How many days would Isha take alone?
  29. 29.Tara can finish a job in 4 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Tara can finish a job in 10 days and Kavya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Aarav and Tara together finish a job in 8 days. Aarav alone takes 10 days. How many days would Tara take alone?
  32. 32.Aarav can finish a job in 5 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. =
  33. 33.Sneha and Nisha together finish a job in 16 days. Sneha alone takes 24 days. How many days would Nisha take alone?
  34. 34.Rahul can finish a job in 5 days and Saanvi in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kabir can finish a job in 4 days and Priya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Tara can finish a job in 6 days and Arjun in 10 days. Tara works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  37. 37.Aarav can finish a job in 9 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Farhan can finish a job in 8 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Sneha can finish a job in 9 days and Manav in 21 days. Sneha works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  40. 40.Sneha can finish a job in 15 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 28
  2. 12
  3. 20
  4. 18
  5. 4
  6. 15/44
  7. 12
  8. 56
  9. 30/13
  10. 8
  11. 32
  12. 11/56
  13. 14
  14. 28/171
  15. 20/3
  16. 36
  17. 8
  18. 36
  19. 18
  20. 12
  21. 18
  22. 24
  23. 7
  24. 171/28
  25. 60/7
  26. 12
  27. 16
  28. 6
  29. 12/7
  30. 4/15
  31. 40
  32. 10/7
  33. 48
  34. 65/18
  35. 12/5
  36. 5
  37. 144/25
  38. 40/13
  39. 7
  40. 30/7

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