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Time and Work Worksheet

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

Answer key

  1. 66/17
  2. 28
  3. 6
  4. 14
  5. 42
  6. 10
  7. 6
  8. 33
  9. 20
  10. 12
  11. 120/23
  12. 18
  13. 5/12
  14. 15
  15. 8
  16. 20/91
  17. 9
  18. 130/23
  19. 40/13
  20. 6
  21. 63
  22. 15
  23. 48/19
  24. 90
  25. 5/21
  26. 24
  27. 13/36
  28. 170/27
  29. 5/18
  30. 105/22
  31. 8
  32. 3
  33. 8
  34. 6
  35. 85/22
  36. 20/11
  37. 24
  38. 21
  39. 5
  40. 6

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