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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 253 · 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.Isha can finish a job in 4 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Priya can finish a job in 2 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Priya works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
  4. 4.Karan can finish a job in 8 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Aarav works twice as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  6. 6.Sneha can finish a job in 11 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Rahul can finish a job in 14 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. =
  8. 8.Diya works three times as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  9. 9.Rohan can finish a job in 12 days and Zoya in 28 days. Rohan works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  10. 10.Dev can finish a job in 14 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha can finish a job in 13 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Nisha and Zoya together finish a job in 3 days. Nisha alone takes 4 days. How many days would Zoya take alone?
  13. 13.Manav can finish a job in 17 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Zoya can finish a job in 5 days and Rohan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Zoya can finish a job in 16 days and Farhan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Rahul can finish a job in 4 days and Ishaan in 28 days. Rahul works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  17. 17.Meera and Nisha together finish a job in 5 days. Meera alone takes 6 days. How many days would Nisha take alone?
  18. 18.Meera can finish a job in 15 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Rohan works three times as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  20. 20.Kabir can finish a job in 11 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Meera works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  22. 22.Aditya can finish a job in 12 days and Nisha in 4 days. Aditya works alone for 9 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  23. 23.Sneha can finish a job in 7 days and Arjun in 14 days. Sneha works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  24. 24.Priya can finish a job in 6 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aarav and Manav together finish a job in 12 days. Aarav alone takes 15 days. How many days would Manav take alone?
  26. 26.Rahul works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  27. 27.Rohan can finish a job in 18 days and Dev in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Zoya and Kabir together finish a job in 3 days. Zoya alone takes 4 days. How many days would Kabir take alone?
  29. 29.Aditya can finish a job in 19 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Farhan works twice as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  31. 31.Rahul can finish a job in 18 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Sneha and Ishaan together finish a job in 15 days. Sneha alone takes 18 days. How many days would Ishaan take alone?
  33. 33.Rahul and Tara together finish a job in 2 days. Rahul alone takes 3 days. How many days would Tara take alone?
  34. 34.Kavya can finish a job in 11 days and Rahul in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Karan can finish a job in 7 days and Kabir in 28 days. Karan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  36. 36.Saanvi can finish a job in 16 days and Meera in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir can finish a job in 5 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Kavya can finish a job in 8 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya and Kavya together finish a job in 2 days. Ananya alone takes 3 days. How many days would Kavya take alone?
  40. 40.Isha and Aarav together finish a job in 3 days. Isha alone takes 6 days. How many days would Aarav take alone?

Answer key

  1. 21/34
  2. 26/15
  3. 33
  4. 63/104
  5. 12
  6. 154/25
  7. 210/29
  8. 44
  9. 14
  10. 21/5
  11. 33/260
  12. 12
  13. 29/204
  14. 15/8
  15. 176/27
  16. 14
  17. 30
  18. 22/105
  19. 20
  20. 54/77
  21. 12
  22. 1
  23. 2
  24. 9/2
  25. 60
  26. 18
  27. 1/2
  28. 12
  29. 190/29
  30. 24
  31. 19/60
  32. 90
  33. 6
  34. 110/21
  35. 20
  36. 112/15
  37. 11/15
  38. 136/25
  39. 6
  40. 6

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