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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 139 · 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 5 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Saanvi can finish a job in 4 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Aarav works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  4. 4.Meera can finish a job in 17 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Pooja and Rohan together finish a job in 12 days. Pooja alone takes 28 days. How many days would Rohan take alone?
  6. 6.Vivaan can finish a job in 4 days and Saanvi in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ananya can finish a job in 13 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Diya and Vivaan together finish a job in 4 days. Diya alone takes 5 days. How many days would Vivaan take alone?
  9. 9.Rahul can finish a job in 4 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Isha can finish a job in 13 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. =
  11. 11.Farhan can finish a job in 14 days and Kabir in 7 days. Farhan works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  12. 12.Rohan can finish a job in 2 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Diya can finish a job in 6 days and Kabir in 18 days. Diya works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  14. 14.Diya and Priya together finish a job in 4 days. Diya alone takes 5 days. How many days would Priya take alone?
  15. 15.Aarav works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  16. 16.Sneha can finish a job in 12 days and Aditya in 6 days. Sneha works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  17. 17.Farhan works twice as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  18. 18.Tara can finish a job in 14 days and Farhan in 28 days. Tara works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  19. 19.Rahul works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  20. 20.Dev can finish a job in 7 days and Vivaan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Nisha works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  22. 22.Zoya can finish a job in 21 days and Saanvi in 14 days. Zoya works alone for 18 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  23. 23.Meera works twice as fast as Vivaan. Together they finish a job in 11 days. How many days would Vivaan take alone?
  24. 24.Kabir can finish a job in 10 days and Priya in 18 days. Kabir works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  25. 25.Saanvi can finish a job in 16 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kavya can finish a job in 20 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Tara can finish a job in 6 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Dev can finish a job in 16 days and Nisha in 24 days. Dev works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  29. 29.Dev can finish a job in 7 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Arjun can finish a job in 14 days and Isha in 24 days. Arjun works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  31. 31.Farhan works twice as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  32. 32.Diya can finish a job in 13 days and Aditya in 26 days. Diya works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  33. 33.Ananya works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  34. 34.Rohan works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  35. 35.Isha and Aarav together finish a job in 3 days. Isha alone takes 6 days. How many days would Aarav take alone?
  36. 36.Aarav can finish a job in 20 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Rohan and Farhan together finish a job in 2 days. Rohan alone takes 3 days. How many days would Farhan take alone?
  38. 38.Tara can finish a job in 16 days and Aarav in 8 days. Tara works alone for 14 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  39. 39.Aarav and Ananya together finish a job in 4 days. Aarav alone takes 8 days. How many days would Ananya take alone?
  40. 40.Priya and Saanvi together finish a job in 2 days. Priya alone takes 4 days. How many days would Saanvi take alone?

Answer key

  1. 30/11
  2. 20/9
  3. 12
  4. 204/29
  5. 21
  6. 36/11
  7. 221/30
  8. 20
  9. 23/38
  10. 182/27
  11. 5
  12. 12/7
  13. 15
  14. 20
  15. 21
  16. 3
  17. 27
  18. 24
  19. 33
  20. 9/14
  21. 48
  22. 2
  23. 33
  24. 9
  25. 80/9
  26. 3/10
  27. 7/30
  28. 15
  29. 20/91
  30. 12
  31. 30
  32. 18
  33. 12
  34. 33
  35. 6
  36. 40/7
  37. 6
  38. 1
  39. 8
  40. 4

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