← Time and work lesson New set →

Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 251 · 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.Rahul can finish a job in 14 days and Kavya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Meera can finish a job in 6 days and Kavya in 12 days. Meera works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  3. 3.Saanvi can finish a job in 20 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Rahul and Arjun together finish a job in 6 days. Rahul alone takes 8 days. How many days would Arjun take alone?
  5. 5.Rahul works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  6. 6.Kabir can finish a job in 6 days and Diya in 30 days. Kabir works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Kavya can finish a job in 13 days and Saanvi in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Sneha can finish a job in 5 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Zoya and Kabir together finish a job in 8 days. Zoya alone takes 10 days. How many days would Kabir take alone?
  10. 10.Farhan can finish a job in 12 days and Rahul in 26 days. Farhan works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  11. 11.Rohan works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  12. 12.Ananya and Vivaan together finish a job in 2 days. Ananya alone takes 3 days. How many days would Vivaan take alone?
  13. 13.Farhan works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  14. 14.Manav works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  15. 15.Ananya can finish a job in 12 days and Farhan in 24 days. Ananya works alone for 6 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  16. 16.Zoya can finish a job in 14 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Kavya and Arjun together finish a job in 3 days. Kavya alone takes 6 days. How many days would Arjun take alone?
  18. 18.Dev can finish a job in 4 days and Manav in 28 days. Dev works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  19. 19.Ananya can finish a job in 12 days and Tara in 4 days. Ananya works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  20. 20.Kabir works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
  21. 21.Arjun can finish a job in 11 days and Meera in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Meera can finish a job in 11 days and Tara in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Aditya can finish a job in 5 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Diya can finish a job in 17 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kavya and Ishaan together finish a job in 4 days. Kavya alone takes 20 days. How many days would Ishaan take alone?
  26. 26.Priya works twice as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  27. 27.Vivaan can finish a job in 8 days and Arjun in 18 days. Vivaan works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  28. 28.Arjun works three times as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  29. 29.Manav can finish a job in 9 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Isha can finish a job in 13 days and Rohan in 26 days. Isha works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  31. 31.Rahul works three times as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  32. 32.Dev and Karan together finish a job in 12 days. Dev alone takes 16 days. How many days would Karan take alone?
  33. 33.Arjun can finish a job in 15 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Rahul can finish a job in 3 days and Nisha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Pooja can finish a job in 5 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Meera can finish a job in 5 days and Ananya in 15 days. Meera works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  37. 37.Diya can finish a job in 14 days and Farhan in 28 days. Diya works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  38. 38.Ananya can finish a job in 13 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Priya can finish a job in 13 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Tara can finish a job in 7 days and Pooja in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 19/70
  2. 10
  3. 51/140
  4. 24
  5. 16
  6. 5
  7. 25/156
  8. 24/95
  9. 40
  10. 13
  11. 24
  12. 6
  13. 27
  14. 12
  15. 12
  16. 10/21
  17. 6
  18. 7
  19. 3
  20. 48
  21. 28/187
  22. 63/110
  23. 11/30
  24. 306/35
  25. 5
  26. 6
  27. 9
  28. 48
  29. 45/14
  30. 16
  31. 32
  32. 48
  33. 4/5
  34. 42/17
  35. 9/20
  36. 12
  37. 18
  38. 26/15
  39. 26/15
  40. 105/22

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude