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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 494 · 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.Kabir can finish a job in 13 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Karan and Farhan together finish a job in 3 days. Karan alone takes 6 days. How many days would Farhan take alone?
  3. 3.Rohan can finish a job in 3 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Rahul can finish a job in 10 days and Priya in 5 days. Rahul works alone for 8 days and then stops. Priya finishes the rest. How many days does Priya take?
  5. 5.Dev can finish a job in 6 days and Pooja in 30 days. Dev works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  6. 6.Rahul can finish a job in 5 days and Sneha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Karan can finish a job in 7 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. =
  8. 8.Nisha can finish a job in 4 days and Arjun in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Arjun can finish a job in 3 days and Manav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Saanvi can finish a job in 15 days and Diya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Karan can finish a job in 25 days and Dev in 5 days. Karan works alone for 15 days and then stops. Dev finishes the rest. How many days does Dev take?
  12. 12.Tara can finish a job in 15 days and Ishaan in 30 days. Tara works alone for 12 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  13. 13.Vivaan can finish a job in 17 days and Tara in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Rohan can finish a job in 18 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Vivaan and Arjun together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Arjun take alone?
  16. 16.Meera and Pooja together finish a job in 2 days. Meera alone takes 4 days. How many days would Pooja take alone?
  17. 17.Ananya works three times as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  18. 18.Ishaan can finish a job in 5 days and Tara in 10 days. Ishaan works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  19. 19.Kabir can finish a job in 2 days and Rohan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Vivaan and Nisha together finish a job in 3 days. Vivaan alone takes 6 days. How many days would Nisha take alone?
  21. 21.Meera works twice as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
  22. 22.Kabir works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  23. 23.Ishaan can finish a job in 8 days and Farhan in 20 days. Ishaan works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  24. 24.Isha works three times as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  25. 25.Manav and Dev together finish a job in 2 days. Manav alone takes 6 days. How many days would Dev take alone?
  26. 26.Aarav can finish a job in 15 days and Kavya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Tara can finish a job in 20 days and Pooja in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Vivaan works three times as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  29. 29.Diya can finish a job in 3 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Nisha can finish a job in 14 days and Farhan in 21 days. Nisha works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  31. 31.Diya can finish a job in 17 days and Meera in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Priya and Nisha together finish a job in 10 days. Priya alone takes 20 days. How many days would Nisha take alone?
  33. 33.Ananya and Meera together finish a job in 6 days. Ananya alone takes 10 days. How many days would Meera take alone?
  34. 34.Karan can finish a job in 7 days and Nisha in 28 days. Karan works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  35. 35.Kavya and Vivaan together finish a job in 2 days. Kavya alone takes 6 days. How many days would Vivaan take alone?
  36. 36.Meera can finish a job in 8 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Diya and Karan together finish a job in 8 days. Diya alone takes 9 days. How many days would Karan take alone?
  38. 38.Rohan can finish a job in 20 days and Kavya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Rahul can finish a job in 5 days and Manav in 20 days. Rahul works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  40. 40.Aditya can finish a job in 16 days and Aarav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 195/28
  2. 6
  3. 12/7
  4. 1
  5. 20
  6. 65/18
  7. 35/12
  8. 21/68
  9. 6/5
  10. 11/90
  11. 2
  12. 6
  13. 31/238
  14. 90/11
  15. 4
  16. 4
  17. 24
  18. 8
  19. 34/19
  20. 6
  21. 15
  22. 18
  23. 15
  24. 36
  25. 3
  26. 7/15
  27. 29/180
  28. 24
  29. 21/10
  30. 18
  31. 66/85
  32. 20
  33. 15
  34. 12
  35. 3
  36. 3/16
  37. 72
  38. 80/9
  39. 16
  40. 80/9

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