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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 293 · 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.Priya can finish a job in 10 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Pooja can finish a job in 12 days and Ishaan in 21 days. Pooja works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  3. 3.Ishaan can finish a job in 12 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Dev and Diya together finish a job in 5 days. Dev alone takes 6 days. How many days would Diya take alone?
  5. 5.Pooja can finish a job in 19 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Aditya can finish a job in 17 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Ishaan can finish a job in 9 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Diya can finish a job in 16 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. =
  9. 9.Kabir can finish a job in 7 days and Rohan in 14 days. Kabir works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  10. 10.Arjun can finish a job in 9 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Rohan can finish a job in 17 days and Priya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya works twice as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
  13. 13.Kabir can finish a job in 14 days and Ishaan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Saanvi can finish a job in 17 days and Karan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Dev can finish a job in 8 days and Pooja in 24 days. Dev works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  16. 16.Pooja and Rahul together finish a job in 3 days. Pooja alone takes 4 days. How many days would Rahul take alone?
  17. 17.Manav can finish a job in 11 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kavya can finish a job in 20 days and Aditya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Kavya can finish a job in 14 days and Arjun in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kavya can finish a job in 16 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Dev can finish a job in 15 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Vivaan and Priya together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Priya take alone?
  23. 23.Kavya can finish a job in 6 days and Meera in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Priya can finish a job in 6 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Diya can finish a job in 5 days and Tara in 10 days. Diya works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  26. 26.Ananya can finish a job in 13 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Pooja and Manav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Manav take alone?
  28. 28.Rahul and Dev together finish a job in 6 days. Rahul alone takes 18 days. How many days would Dev take alone?
  29. 29.Sneha works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  30. 30.Rohan can finish a job in 2 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Vivaan and Kabir together finish a job in 11 days. Vivaan alone takes 22 days. How many days would Kabir take alone?
  32. 32.Ananya and Sneha together finish a job in 3 days. Ananya alone takes 4 days. How many days would Sneha take alone?
  33. 33.Rahul can finish a job in 15 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Vivaan works twice as fast as Farhan. Together they finish a job in 8 days. How many days would Farhan take alone?
  35. 35.Aditya can finish a job in 20 days and Dev in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aditya can finish a job in 4 days and Karan in 8 days. Aditya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  37. 37.Rahul can finish a job in 11 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Saanvi can finish a job in 2 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kavya can finish a job in 12 days and Ananya in 24 days. Kavya works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  40. 40.Rahul works three times as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?

Answer key

  1. 9/10
  2. 14
  3. 60/11
  4. 30
  5. 57/22
  6. 56/187
  7. 6
  8. 272/33
  9. 10
  10. 36/7
  11. 204/29
  12. 24
  13. 23/126
  14. 22/85
  15. 3
  16. 12
  17. 176/27
  18. 3/10
  19. 63/8
  20. 144/25
  21. 31/240
  22. 6
  23. 8/15
  24. 4/9
  25. 4
  26. 104/21
  27. 6
  28. 9
  29. 21
  30. 34/19
  31. 22
  32. 12
  33. 195/28
  34. 24
  35. 140/17
  36. 2
  37. 55/16
  38. 38/21
  39. 4
  40. 20

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