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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 278 · 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 14 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Aarav and Pooja together finish a job in 4 days. Aarav alone takes 5 days. How many days would Pooja take alone?
  3. 3.Vivaan and Farhan together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Farhan take alone?
  4. 4.Sneha works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  5. 5.Arjun and Kavya together finish a job in 6 days. Arjun alone takes 18 days. How many days would Kavya take alone?
  6. 6.Saanvi works three times as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  7. 7.Rahul can finish a job in 15 days and Pooja in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Farhan can finish a job in 10 days and Diya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Dev and Karan together finish a job in 3 days. Dev alone takes 12 days. How many days would Karan take alone?
  10. 10.Manav can finish a job in 5 days and Ananya in 15 days. Manav works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  11. 11.Vivaan and Ishaan together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Ishaan take alone?
  12. 12.Kavya and Aarav together finish a job in 6 days. Kavya alone takes 8 days. How many days would Aarav take alone?
  13. 13.Dev can finish a job in 18 days and Rahul in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Aarav can finish a job in 5 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Pooja can finish a job in 9 days and Meera in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Nisha can finish a job in 12 days and Meera in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Aarav can finish a job in 18 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Kabir can finish a job in 2 days and Arjun in 20 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 20 days and Ishaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Aarav can finish a job in 11 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Karan can finish a job in 20 days and Aarav in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Farhan can finish a job in 4 days and Aditya in 24 days. Farhan works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  23. 23.Karan and Arjun together finish a job in 2 days. Karan alone takes 4 days. How many days would Arjun take alone?
  24. 24.Saanvi can finish a job in 7 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Tara works three times as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  26. 26.Isha can finish a job in 3 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Vivaan can finish a job in 8 days and Rohan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Vivaan can finish a job in 15 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Tara works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  30. 30.Vivaan can finish a job in 7 days and Arjun in 21 days. Vivaan works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Farhan can finish a job in 16 days and Rahul in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Kavya works three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  33. 33.Diya and Rohan together finish a job in 7 days. Diya alone takes 8 days. How many days would Rohan take alone?
  34. 34.Rahul can finish a job in 7 days and Rohan in 21 days. Rahul works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  35. 35.Ananya can finish a job in 6 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kabir can finish a job in 14 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. =
  37. 37.Pooja works twice as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  38. 38.Sneha works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  39. 39.Manav works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  40. 40.Kabir and Vivaan together finish a job in 7 days. Kabir alone takes 8 days. How many days would Vivaan take alone?

Answer key

  1. 13/84
  2. 20
  3. 20
  4. 8
  5. 9
  6. 24
  7. 11/45
  8. 9/40
  9. 4
  10. 9
  11. 4
  12. 24
  13. 9/2
  14. 9/20
  15. 16/45
  16. 15/2
  17. 2/9
  18. 20/11
  19. 260/33
  20. 19/44
  21. 33/260
  22. 18
  23. 4
  24. 21/10
  25. 32
  26. 2
  27. 152/27
  28. 7/10
  29. 36
  30. 3
  31. 16/3
  32. 32
  33. 56
  34. 12
  35. 30/7
  36. 42/17
  37. 18
  38. 33
  39. 8
  40. 56

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