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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 298 · 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 and Rahul together finish a job in 4 days. Kabir alone takes 5 days. How many days would Rahul take alone?
  2. 2.Rahul can finish a job in 24 days and Isha in 10 days. Rahul works alone for 12 days and then stops. Isha finishes the rest. How many days does Isha take?
  3. 3.Manav can finish a job in 20 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Arjun can finish a job in 11 days and Priya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Ishaan can finish a job in 11 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Kavya and Manav together finish a job in 2 days. Kavya alone takes 6 days. How many days would Manav take alone?
  7. 7.Dev can finish a job in 20 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. =
  8. 8.Sneha and Dev together finish a job in 14 days. Sneha alone takes 21 days. How many days would Dev take alone?
  9. 9.Farhan and Isha together finish a job in 6 days. Farhan alone takes 24 days. How many days would Isha take alone?
  10. 10.Kabir can finish a job in 8 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Dev works three times as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  12. 12.Kavya can finish a job in 10 days and Pooja in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Diya works three times as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  14. 14.Rohan works twice as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  15. 15.Vivaan and Diya together finish a job in 6 days. Vivaan alone takes 12 days. How many days would Diya take alone?
  16. 16.Nisha works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  17. 17.Arjun can finish a job in 8 days and Nisha in 22 days. Arjun works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  18. 18.Rahul and Diya together finish a job in 9 days. Rahul alone takes 10 days. How many days would Diya take alone?
  19. 19.Kabir and Ananya together finish a job in 4 days. Kabir alone takes 8 days. How many days would Ananya take alone?
  20. 20.Ishaan and Aarav together finish a job in 16 days. Ishaan alone takes 24 days. How many days would Aarav take alone?
  21. 21.Aditya works three times as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  22. 22.Isha can finish a job in 10 days and Saanvi in 18 days. Isha works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  23. 23.Manav and Rahul together finish a job in 3 days. Manav alone takes 6 days. How many days would Rahul take alone?
  24. 24.Diya works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  25. 25.Dev works three times as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  26. 26.Ishaan can finish a job in 6 days and Kavya in 12 days. Ishaan works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  27. 27.Dev can finish a job in 5 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan works three times as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  29. 29.Manav can finish a job in 8 days and Pooja in 18 days. Manav works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Dev works twice as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  31. 31.Dev can finish a job in 28 days and Karan in 30 days. Dev works alone for 14 days and then stops. Karan finishes the rest. How many days does Karan take?
  32. 32.Rohan and Nisha together finish a job in 9 days. Rohan alone takes 12 days. How many days would Nisha take alone?
  33. 33.Diya can finish a job in 17 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Meera can finish a job in 20 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kabir can finish a job in 18 days and Tara in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Zoya can finish a job in 8 days and Meera in 16 days. Zoya works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  37. 37.Arjun can finish a job in 28 days and Aditya in 24 days. Arjun works alone for 21 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  38. 38.Kabir and Pooja together finish a job in 6 days. Kabir alone takes 10 days. How many days would Pooja take alone?
  39. 39.Aditya 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. =
  40. 40.Arjun works three times as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?

Answer key

  1. 20
  2. 5
  3. 81/140
  4. 20/33
  5. 81/176
  6. 3
  7. 140/17
  8. 42
  9. 8
  10. 3/8
  11. 12
  12. 10/3
  13. 20
  14. 21
  15. 12
  16. 27
  17. 11
  18. 90
  19. 8
  20. 48
  21. 16
  22. 9
  23. 6
  24. 24
  25. 48
  26. 10
  27. 10/7
  28. 28
  29. 9
  30. 6
  31. 15
  32. 36
  33. 221/30
  34. 10/3
  35. 36/11
  36. 8
  37. 6
  38. 15
  39. 60/23
  40. 40

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