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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 76 · 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 12 days and Ananya in 18 days. Rohan works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  2. 2.Farhan works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  3. 3.Ananya can finish a job in 8 days and Rohan in 16 days. Ananya works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  4. 4.Manav and Aarav together finish a job in 6 days. Manav alone takes 8 days. How many days would Aarav take alone?
  5. 5.Nisha can finish a job in 10 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Saanvi works twice as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  7. 7.Tara and Nisha together finish a job in 8 days. Tara alone takes 10 days. How many days would Nisha take alone?
  8. 8.Farhan can finish a job in 12 days and Aarav in 18 days. Farhan works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  9. 9.Isha can finish a job in 4 days and Meera in 12 days. Isha works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  10. 10.Tara works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  11. 11.Farhan works twice as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  12. 12.Diya and Isha together finish a job in 4 days. Diya alone takes 20 days. How many days would Isha take alone?
  13. 13.Pooja works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  14. 14.Rahul works twice as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
  15. 15.Aarav can finish a job in 7 days and Karan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Tara can finish a job in 4 days and Zoya in 8 days. Tara works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  17. 17.Ishaan can finish a job in 20 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ananya can finish a job in 5 days and Manav in 20 days. Ananya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  19. 19.Tara can finish a job in 18 days and Ishaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Ishaan works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  21. 21.Tara can finish a job in 6 days and Kabir in 30 days. Tara works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  22. 22.Sneha can finish a job in 7 days and Rahul in 28 days. Sneha works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Saanvi can finish a job in 17 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Diya can finish a job in 20 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Pooja can finish a job in 18 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. =
  26. 26.Manav can finish a job in 2 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Manav can finish a job in 3 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Pooja works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  29. 29.Rohan can finish a job in 9 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. =
  30. 30.Nisha can finish a job in 18 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav works three times as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  32. 32.Rohan can finish a job in 15 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Zoya can finish a job in 20 days and Tara in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Tara can finish a job in 4 days and Arjun in 24 days. Tara works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  35. 35.Kabir can finish a job in 15 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ishaan 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. =
  37. 37.Farhan works three times as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  38. 38.Kabir and Farhan together finish a job in 2 days. Kabir alone takes 4 days. How many days would Farhan take alone?
  39. 39.Meera can finish a job in 20 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Rohan can finish a job in 16 days and Diya in 12 days. Rohan works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?

Answer key

  1. 12
  2. 36
  3. 14
  4. 24
  5. 11/20
  6. 36
  7. 40
  8. 15
  9. 3
  10. 12
  11. 33
  12. 5
  13. 16
  14. 30
  15. 13/21
  16. 2
  17. 60/7
  18. 4
  19. 37/114
  20. 15
  21. 10
  22. 12
  23. 340/37
  24. 117/380
  25. 198/29
  26. 7/4
  27. 48/19
  28. 8
  29. 117/22
  30. 90/11
  31. 28
  32. 30/17
  33. 80/9
  34. 6
  35. 195/28
  36. 4
  37. 24
  38. 4
  39. 4
  40. 9

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