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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 434 · 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.Kavya can finish a job in 12 days and Zoya in 21 days. Kavya works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  2. 2.Diya works twice as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  3. 3.Aarav can finish a job in 28 days and Kabir in 8 days. Aarav works alone for 14 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Saanvi can finish a job in 7 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Rahul can finish a job in 9 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Ishaan can finish a job in 9 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Tara works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
  8. 8.Aarav can finish a job in 18 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Arjun can finish a job in 10 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Aditya can finish a job in 20 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Farhan can finish a job in 9 days and Isha in 21 days. Farhan works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  12. 12.Arjun can finish a job in 7 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ishaan can finish a job in 13 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Manav can finish a job in 7 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Aarav can finish a job in 5 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav can finish a job in 7 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Kavya can finish a job in 3 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aditya can finish a job in 20 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Priya can finish a job in 17 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Meera can finish a job in 6 days and Diya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Vivaan can finish a job in 9 days and Diya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Rahul works twice as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  23. 23.Aarav can finish a job in 17 days and Manav in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Rahul can finish a job in 11 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya can finish a job in 4 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?
  26. 26.Isha can finish a job in 5 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Farhan can finish a job in 6 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Arjun works three times as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  29. 29.Zoya and Kavya together finish a job in 5 days. Zoya alone takes 10 days. How many days would Kavya take alone?
  30. 30.Manav and Vivaan together finish a job in 2 days. Manav alone takes 4 days. How many days would Vivaan take alone?
  31. 31.Isha can finish a job in 20 days and Meera in 4 days. Isha works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
  32. 32.Meera can finish a job in 19 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. =
  33. 33.Priya works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  34. 34.Kabir can finish a job in 5 days and Meera in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Sneha and Karan together finish a job in 3 days. Sneha alone takes 6 days. How many days would Karan take alone?
  36. 36.Sneha can finish a job in 15 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Aarav can finish a job in 10 days and Pooja in 30 days. Aarav works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  38. 38.Meera can finish a job in 6 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Sneha can finish a job in 24 days and Rahul in 9 days. Sneha works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  40. 40.Priya can finish a job in 18 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 7
  2. 30
  3. 4
  4. 44/105
  5. 16/63
  6. 99/20
  7. 48
  8. 13/72
  9. 20/3
  10. 260/33
  11. 14
  12. 56/15
  13. 195/28
  14. 105/22
  15. 80/21
  16. 22/105
  17. 33/14
  18. 140/17
  19. 27/85
  20. 11/30
  21. 20/33
  22. 21
  23. 56/187
  24. 66/17
  25. 12
  26. 36/65
  27. 42/13
  28. 24
  29. 10
  30. 4
  31. 3
  32. 171/28
  33. 21
  34. 12/35
  35. 6
  36. 7/20
  37. 21
  38. 42/13
  39. 6
  40. 5/36

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