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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 53 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  2. 2.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 150 m and 330 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 65 km upstream and come back?
  8. 8.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  10. 10.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  17. 17.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  19. 19.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  20. 20.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  21. 21.Two trains, 90 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  22. 22.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 180 m and 240 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  27. 27.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  29. 29.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  34. 34.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  36. 36.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  37. 37.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 130 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 30
  2. 22
  3. 26
  4. 12
  5. 2
  6. 4
  7. 70
  8. 16
  9. 38
  10. 13
  11. 5
  12. 10
  13. 27
  14. 28
  15. 15
  16. 28
  17. 38
  18. 9
  19. 300
  20. 31
  21. 9
  22. 18
  23. 10
  24. 165
  25. 22
  26. 12
  27. 4
  28. 25
  29. 20
  30. 7
  31. 8
  32. 31
  33. 31
  34. 24
  35. 18
  36. 32
  37. 3
  38. 9
  39. 2
  40. 7

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