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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 210 · 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 works twice as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  2. 2.Rohan can finish a job in 26 days and Meera in 22 days. Rohan works alone for 13 days and then stops. Meera finishes the rest. How many days does Meera take?
  3. 3.Sneha can finish a job in 18 days and Vivaan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Diya can finish a job in 6 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Meera and Diya together finish a job in 2 days. Meera alone takes 3 days. How many days would Diya take alone?
  6. 6.Zoya can finish a job in 18 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Rahul and Sneha together finish a job in 6 days. Rahul alone takes 15 days. How many days would Sneha take alone?
  8. 8.Aarav can finish a job in 4 days and Meera in 12 days. Aarav works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  9. 9.Ishaan can finish a job in 16 days and Zoya in 12 days. Ishaan works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  10. 10.Ishaan and Vivaan together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Vivaan take alone?
  11. 11.Nisha can finish a job in 6 days and Farhan in 18 days. Nisha works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  12. 12.Dev can finish a job in 2 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ananya can finish a job in 6 days and Isha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Rohan and Ishaan together finish a job in 10 days. Rohan alone takes 20 days. How many days would Ishaan take alone?
  15. 15.Sneha can finish a job in 14 days and Karan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Arjun and Saanvi together finish a job in 3 days. Arjun alone takes 6 days. How many days would Saanvi take alone?
  17. 17.Priya can finish a job in 3 days and Nisha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kavya can finish a job in 6 days and Arjun in 9 days. Kavya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  19. 19.Zoya and Saanvi together finish a job in 2 days. Zoya alone takes 4 days. How many days would Saanvi take alone?
  20. 20.Saanvi can finish a job in 11 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Diya can finish a job in 8 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara can finish a job in 13 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Zoya works three times as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  24. 24.Kavya works twice as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  25. 25.Diya can finish a job in 7 days and Pooja in 14 days. Diya works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
  26. 26.Diya can finish a job in 13 days and Rohan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ishaan can finish a job in 3 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Nisha can finish a job in 17 days and Diya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Meera can finish a job in 15 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Manav can finish a job in 4 days and Priya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Dev can finish a job in 20 days and Aditya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Nisha can finish a job in 17 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Meera can finish a job in 4 days and Aarav in 20 days. Meera works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  34. 34.Kavya and Isha together finish a job in 12 days. Kavya alone takes 16 days. How many days would Isha take alone?
  35. 35.Manav and Isha together finish a job in 4 days. Manav alone takes 5 days. How many days would Isha take alone?
  36. 36.Rohan can finish a job in 13 days and Isha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Vivaan can finish a job in 5 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. =
  38. 38.Sneha works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  39. 39.Arjun works twice as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  40. 40.Dev works three times as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?

Answer key

  1. 24
  2. 11
  3. 19/180
  4. 5/12
  5. 6
  6. 342/37
  7. 10
  8. 3
  9. 6
  10. 12
  11. 3
  12. 22/13
  13. 21/5
  14. 20
  15. 126/23
  16. 6
  17. 9/4
  18. 6
  19. 4
  20. 28/187
  21. 40/7
  22. 195/28
  23. 8
  24. 9
  25. 12
  26. 247/32
  27. 21/10
  28. 72/119
  29. 165/26
  30. 12/5
  31. 27/80
  32. 170/27
  33. 5
  34. 48
  35. 20
  36. 31/117
  37. 35/12
  38. 6
  39. 30
  40. 32

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