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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 8 · 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 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  4. 4.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 57 km upstream and come back?
  6. 6.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.Two trains, 180 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  8. 8.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  9. 9.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  10. 10.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  12. 12.Two trains, 160 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  15. 15.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  17. 17.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  20. 20.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  23. 23.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 24 km upstream and come back?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  26. 26.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  32. 32.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  33. 33.Two trains, 70 m and 170 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?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 70 m and 290 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  39. 39.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?

Answer key

  1. 17
  2. 24
  3. 31
  4. 130
  5. 60
  6. 6
  7. 8
  8. 340
  9. 40
  10. 140
  11. 33
  12. 10
  13. 2
  14. 12
  15. 4
  16. 25
  17. 3
  18. 180
  19. 34
  20. 2
  21. 21
  22. 70
  23. 5
  24. 17
  25. 250
  26. 21
  27. 210
  28. 5
  29. 7
  30. 20
  31. 30
  32. 13
  33. 6
  34. 11
  35. 12
  36. 13
  37. 7
  38. 32
  39. 100
  40. 475

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