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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 501 · 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.Sneha can finish a job in 15 days and Karan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Ishaan can finish a job in 24 days and Rohan in 8 days. Ishaan works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Kavya works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  4. 4.Arjun can finish a job in 14 days and Rahul in 7 days. Arjun works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  5. 5.Farhan can finish a job in 17 days and Nisha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev works three times as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  7. 7.Kabir can finish a job in 19 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Farhan can finish a job in 2 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. =
  9. 9.Nisha can finish a job in 3 days and Rohan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Priya can finish a job in 18 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Zoya can finish a job in 4 days and Diya in 24 days. Zoya works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Isha and Karan together finish a job in 3 days. Isha alone takes 12 days. How many days would Karan take alone?
  13. 13.Diya can finish a job in 12 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Sneha can finish a job in 3 days and Karan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Meera and Karan together finish a job in 4 days. Meera alone takes 5 days. How many days would Karan take alone?
  16. 16.Kavya can finish a job in 8 days and Isha in 28 days. Kavya works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  17. 17.Farhan works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  18. 18.Sneha can finish a job in 12 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Meera can finish a job in 7 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Nisha works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  21. 21.Vivaan can finish a job in 4 days and Ananya in 20 days. Vivaan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  22. 22.Kabir can finish a job in 17 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Meera can finish a job in 11 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Kabir can finish a job in 14 days and Manav in 28 days. Kabir works alone for 11 days and then stops. Manav finishes the rest. How many days does Manav take?
  25. 25.Rahul and Dev together finish a job in 7 days. Rahul alone takes 8 days. How many days would Dev take alone?
  26. 26.Rohan can finish a job in 30 days and Aarav in 25 days. Rohan works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  27. 27.Manav can finish a job in 11 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Sneha can finish a job in 20 days and Nisha in 10 days. Sneha works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  29. 29.Rahul works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  30. 30.Rohan can finish a job in 13 days and Diya in 26 days. Rohan works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Manav and Zoya together finish a job in 6 days. Manav alone takes 10 days. How many days would Zoya take alone?
  32. 32.Nisha works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  33. 33.Vivaan works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  34. 34.Aditya works three times as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  35. 35.Priya and Ishaan together finish a job in 2 days. Priya alone takes 3 days. How many days would Ishaan take alone?
  36. 36.Farhan can finish a job in 30 days and Meera in 5 days. Farhan works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
  37. 37.Tara works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  38. 38.Manav can finish a job in 15 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Nisha and Dev together finish a job in 3 days. Nisha alone takes 4 days. How many days would Dev take alone?
  40. 40.Priya and Vivaan together finish a job in 4 days. Priya alone takes 8 days. How many days would Vivaan take alone?

Answer key

  1. 165/26
  2. 7
  3. 30
  4. 5
  5. 306/35
  6. 48
  7. 285/34
  8. 5/3
  9. 42/17
  10. 11/18
  11. 18
  12. 4
  13. 132/23
  14. 18/7
  15. 20
  16. 7
  17. 15
  18. 20/3
  19. 21/10
  20. 9
  21. 5
  22. 30/221
  23. 27/176
  24. 6
  25. 56
  26. 20
  27. 22/13
  28. 9
  29. 30
  30. 16
  31. 15
  32. 33
  33. 30
  34. 24
  35. 6
  36. 3
  37. 20
  38. 15/4
  39. 12
  40. 8

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