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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 58 · 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.Arjun works three times as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  2. 2.Tara can finish a job in 5 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Manav and Ananya together finish a job in 6 days. Manav alone takes 10 days. How many days would Ananya take alone?
  4. 4.Aarav can finish a job in 6 days and Ishaan in 12 days. Aarav works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  5. 5.Arjun works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  6. 6.Kabir can finish a job in 5 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya can finish a job in 6 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Isha can finish a job in 6 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Manav can finish a job in 13 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. =
  10. 10.Kabir can finish a job in 17 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Rohan can finish a job in 3 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. =
  12. 12.Diya can finish a job in 24 days and Aditya in 16 days. Diya works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Tara and Pooja together finish a job in 12 days. Tara alone takes 20 days. How many days would Pooja take alone?
  14. 14.Rohan works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  15. 15.Vivaan can finish a job in 2 days and Isha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Rohan works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  17. 17.Karan can finish a job in 11 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. =
  18. 18.Ananya can finish a job in 16 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Karan can finish a job in 30 days and Kabir in 27 days. Karan works alone for 20 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  20. 20.Vivaan works twice as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  21. 21.Priya can finish a job in 12 days and Arjun in 6 days. Priya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  22. 22.Farhan can finish a job in 19 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Ananya works twice as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  24. 24.Kabir can finish a job in 9 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aarav and Kavya together finish a job in 4 days. Aarav alone takes 20 days. How many days would Kavya take alone?
  26. 26.Ananya can finish a job in 14 days and Rahul in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Kavya works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  28. 28.Zoya can finish a job in 18 days and Ishaan in 9 days. Zoya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  29. 29.Tara works three times as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  30. 30.Nisha can finish a job in 4 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. =
  31. 31.Manav can finish a job in 6 days and Rohan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Vivaan and Arjun together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Arjun take alone?
  33. 33.Priya can finish a job in 6 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Zoya can finish a job in 5 days and Nisha in 25 days. Zoya works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  35. 35.Farhan can finish a job in 7 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Kabir can finish a job in 16 days and Manav in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Sneha can finish a job in 10 days and Tara in 12 days. Sneha works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Arjun can finish a job in 5 days and Sneha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Dev can finish a job in 4 days and Rohan in 24 days. Dev works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  40. 40.Dev can finish a job in 26 days and Kabir in 14 days. Dev works alone for 13 days and then stops. Kabir finishes the rest. How many days does Kabir take?

Answer key

  1. 36
  2. 1/4
  3. 15
  4. 8
  5. 24
  6. 45/14
  7. 30/11
  8. 60/13
  9. 234/31
  10. 30/221
  11. 60/23
  12. 14
  13. 30
  14. 9
  15. 38/21
  16. 33
  17. 66/17
  18. 16/3
  19. 9
  20. 36
  21. 5
  22. 228/31
  23. 24
  24. 180/29
  25. 5
  26. 27/28
  27. 6
  28. 7
  29. 32
  30. 20/9
  31. 5/21
  32. 6
  33. 12/5
  34. 5
  35. 15/28
  36. 3/8
  37. 6
  38. 60/17
  39. 12
  40. 7

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