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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 35 · 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 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  3. 3.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  4. 4.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 72 km upstream and come back?
  5. 5.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 190 m and 80 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  7. 7.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  9. 9.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 130 m and 350 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.Two trains, 240 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 6 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?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  16. 16.Two trains, 80 m and 100 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?
  17. 17.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  18. 18.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  20. 20.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  22. 22.Two trains, 100 m and 50 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?
  23. 23.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.Two trains, 120 m and 330 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.Two trains, 80 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 8 km upstream and come back?
  30. 30.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  35. 35.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.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 117 km upstream and come back?
  37. 37.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  39. 39.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.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 36 km upstream and come back?

Answer key

  1. 13
  2. 260
  3. 37
  4. 80
  5. 18
  6. 6
  7. 125
  8. 750
  9. 1
  10. 12
  11. 11
  12. 420
  13. 4
  14. 30
  15. 22
  16. 9
  17. 170
  18. 16
  19. 255
  20. 12
  21. 110
  22. 5
  23. 13
  24. 10
  25. 6
  26. 2
  27. 41
  28. 18
  29. 3
  30. 18
  31. 12
  32. 11
  33. 50
  34. 160
  35. 21
  36. 126
  37. 15
  38. 300
  39. 7
  40. 40

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