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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 102 · 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.Aditya can finish a job in 24 days and Saanvi in 12 days. Aditya works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  2. 2.Rohan works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  3. 3.Meera and Ishaan together finish a job in 6 days. Meera alone takes 7 days. How many days would Ishaan take alone?
  4. 4.Manav can finish a job in 13 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. =
  5. 5.Zoya can finish a job in 15 days and Meera in 18 days. Zoya works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  6. 6.Meera can finish a job in 12 days and Dev in 30 days. Meera works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  7. 7.Zoya and Isha together finish a job in 8 days. Zoya alone takes 10 days. How many days would Isha take alone?
  8. 8.Isha can finish a job in 20 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Tara works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  10. 10.Kabir can finish a job in 12 days and Manav in 16 days. Kabir works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  11. 11.Pooja can finish a job in 13 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Pooja can finish a job in 11 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Vivaan works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  14. 14.Kabir can finish a job in 11 days and Vivaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Tara can finish a job in 4 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Pooja can finish a job in 10 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Karan works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  18. 18.Dev can finish a job in 8 days and Saanvi in 16 days. Dev works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  19. 19.Manav can finish a job in 9 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Pooja can finish a job in 7 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Arjun can finish a job in 13 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. =
  22. 22.Kavya and Kabir together finish a job in 2 days. Kavya alone takes 3 days. How many days would Kabir take alone?
  23. 23.Ananya can finish a job in 8 days and Zoya in 14 days. Ananya works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  24. 24.Dev can finish a job in 11 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Tara can finish a job in 9 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ishaan can finish a job in 12 days and Karan in 4 days. Ishaan works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  27. 27.Ananya and Zoya together finish a job in 7 days. Ananya alone takes 8 days. How many days would Zoya take alone?
  28. 28.Pooja works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  29. 29.Isha and Meera together finish a job in 2 days. Isha alone takes 3 days. How many days would Meera take alone?
  30. 30.Meera works twice as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  31. 31.Isha can finish a job in 6 days and Sneha in 18 days. Isha works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  32. 32.Tara can finish a job in 4 days and Rahul in 26 days. Tara works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  33. 33.Sneha can finish a job in 2 days and Ishaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Pooja can finish a job in 7 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aarav can finish a job in 15 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Kabir and Arjun together finish a job in 15 days. Kabir alone takes 18 days. How many days would Arjun take alone?
  37. 37.Nisha can finish a job in 12 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aarav works twice as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  39. 39.Kavya works three times as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  40. 40.Isha and Diya together finish a job in 12 days. Isha alone takes 18 days. How many days would Diya take alone?

Answer key

  1. 11
  2. 16
  3. 42
  4. 52/17
  5. 6
  6. 15
  7. 40
  8. 60/13
  9. 24
  10. 8
  11. 21/104
  12. 20/33
  13. 15
  14. 25/77
  15. 11/28
  16. 60/11
  17. 12
  18. 12
  19. 36/13
  20. 42/13
  21. 182/27
  22. 6
  23. 7
  24. 24/143
  25. 36/13
  26. 3
  27. 56
  28. 33
  29. 6
  30. 15
  31. 12
  32. 13
  33. 14/9
  34. 14/9
  35. 11/30
  36. 90
  37. 36/5
  38. 12
  39. 48
  40. 36

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