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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 286 · 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 17 days and Pooja in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Zoya can finish a job in 20 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Aarav can finish a job in 8 days and Karan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Diya can finish a job in 20 days and Nisha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya can finish a job in 7 days and Saanvi in 28 days. Diya works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  6. 6.Arjun works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  7. 7.Isha and Zoya together finish a job in 4 days. Isha alone takes 5 days. How many days would Zoya take alone?
  8. 8.Rahul can finish a job in 7 days and Pooja in 14 days. Rahul works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  9. 9.Sneha works three times as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
  10. 10.Rahul can finish a job in 11 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Nisha can finish a job in 4 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Farhan works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  13. 13.Kabir works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  14. 14.Farhan and Rohan together finish a job in 5 days. Farhan alone takes 6 days. How many days would Rohan take alone?
  15. 15.Rohan works three times as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  16. 16.Kavya and Ananya together finish a job in 4 days. Kavya alone takes 5 days. How many days would Ananya take alone?
  17. 17.Nisha can finish a job in 9 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ananya can finish a job in 6 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Zoya can finish a job in 4 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. =
  20. 20.Kavya can finish a job in 6 days and Meera in 9 days. Kavya works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  21. 21.Ananya can finish a job in 9 days and Zoya in 18 days. Ananya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  22. 22.Karan can finish a job in 7 days and Kavya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Pooja can finish a job in 5 days and Vivaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Pooja can finish a job in 21 days and Zoya in 7 days. Pooja works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  25. 25.Saanvi can finish a job in 7 days and Rahul in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Tara can finish a job in 11 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ananya and Arjun together finish a job in 3 days. Ananya alone takes 6 days. How many days would Arjun take alone?
  28. 28.Ishaan works twice as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
  29. 29.Meera can finish a job in 17 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Vivaan works three times as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  31. 31.Meera can finish a job in 10 days and Tara in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Aarav works three times as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  33. 33.Priya can finish a job in 10 days and Aarav in 25 days. Priya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  34. 34.Meera can finish a job in 8 days and Diya in 4 days. Meera works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  35. 35.Nisha can finish a job in 10 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Nisha can finish a job in 16 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Arjun can finish a job in 20 days and Manav in 5 days. Arjun works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  38. 38.Ananya and Manav together finish a job in 9 days. Ananya alone takes 12 days. How many days would Manav take alone?
  39. 39.Isha and Ishaan together finish a job in 6 days. Isha alone takes 8 days. How many days would Ishaan take alone?
  40. 40.Meera can finish a job in 11 days and Priya in 19 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 22/85
  2. 37/170
  3. 19/44
  4. 60/7
  5. 4
  6. 12
  7. 20
  8. 6
  9. 8
  10. 26/165
  11. 23/38
  12. 12
  13. 24
  14. 30
  15. 44
  16. 20
  17. 45/14
  18. 15/4
  19. 10/3
  20. 3
  21. 8
  22. 60/91
  23. 20/9
  24. 2
  25. 14/9
  26. 198/29
  27. 6
  28. 15
  29. 238/31
  30. 20
  31. 27/85
  32. 20
  33. 20
  34. 1
  35. 170/27
  36. 25/48
  37. 4
  38. 36
  39. 24
  40. 30/209

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