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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 408 · 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.Isha can finish a job in 16 days and Meera in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Zoya can finish a job in 6 days and Aditya in 30 days. Zoya works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  3. 3.Kavya can finish a job in 10 days and Arjun in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Kabir and Rahul together finish a job in 2 days. Kabir alone takes 4 days. How many days would Rahul take alone?
  5. 5.Tara can finish a job in 5 days and Sneha in 20 days. Tara works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  6. 6.Manav can finish a job in 4 days and Arjun in 28 days. Manav works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  7. 7.Vivaan and Meera together finish a job in 4 days. Vivaan alone takes 12 days. How many days would Meera take alone?
  8. 8.Rahul can finish a job in 5 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ananya and Vivaan together finish a job in 6 days. Ananya alone takes 12 days. How many days would Vivaan take alone?
  10. 10.Kabir works twice as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  11. 11.Isha can finish a job in 10 days and Aarav in 20 days. Isha works alone for 9 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  12. 12.Priya can finish a job in 11 days and Ananya in 13 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 Pooja in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Dev can finish a job in 8 days and Manav in 12 days. Dev works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  15. 15.Aditya can finish a job in 6 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  17. 17.Arjun can finish a job in 13 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Pooja works three times as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
  19. 19.Nisha and Rohan together finish a job in 5 days. Nisha alone takes 10 days. How many days would Rohan take alone?
  20. 20.Manav can finish a job in 4 days and Farhan in 16 days. Manav works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  21. 21.Farhan works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
  22. 22.Kabir and Meera together finish a job in 2 days. Kabir alone takes 3 days. How many days would Meera take alone?
  23. 23.Isha works twice as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  24. 24.Nisha and Ananya together finish a job in 5 days. Nisha alone takes 6 days. How many days would Ananya take alone?
  25. 25.Zoya and Manav together finish a job in 12 days. Zoya alone takes 18 days. How many days would Manav take alone?
  26. 26.Ananya can finish a job in 7 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Manav works three times as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  28. 28.Isha works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  29. 29.Meera works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  30. 30.Priya can finish a job in 14 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Rahul and Karan together finish a job in 2 days. Rahul alone takes 4 days. How many days would Karan take alone?
  32. 32.Vivaan and Diya together finish a job in 5 days. Vivaan alone takes 6 days. How many days would Diya take alone?
  33. 33.Vivaan works three times as fast as Dev. Together they finish a job in 8 days. How many days would Dev take alone?
  34. 34.Priya can finish a job in 2 days and Ishaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Vivaan can finish a job in 7 days and Meera in 14 days. Vivaan works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
  36. 36.Aarav can finish a job in 14 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. =
  37. 37.Kabir can finish a job in 9 days and Manav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Vivaan can finish a job in 19 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya can finish a job in 19 days and Karan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Diya can finish a job in 12 days and Meera in 11 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 63/80
  2. 5
  3. 1/6
  4. 4
  5. 8
  6. 14
  7. 6
  8. 35/12
  9. 12
  10. 6
  11. 2
  12. 143/24
  13. 8/15
  14. 9
  15. 12/5
  16. 15
  17. 23/65
  18. 28
  19. 10
  20. 4
  21. 33
  22. 6
  23. 18
  24. 30
  25. 36
  26. 26/133
  27. 8
  28. 12
  29. 6
  30. 18/35
  31. 4
  32. 30
  33. 32
  34. 16/9
  35. 4
  36. 63/8
  37. 5/18
  38. 228/31
  39. 31/114
  40. 23/66

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