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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 511 · 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 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.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)?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  5. 5.Two trains, 190 m and 170 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?
  6. 6.A boat goes 38 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)?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  8. 8.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.Two trains, 70 m and 245 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?
  14. 14.Two trains, 50 m and 125 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?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  16. 16.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  18. 18.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  19. 19.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  22. 22.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  23. 23.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  25. 25.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 46 km upstream and come back?
  29. 29.Two trains, 110 m and 390 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?
  30. 30.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 170 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  34. 34.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  35. 35.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 112 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  39. 39.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 25
  2. 13
  3. 4
  4. 13
  5. 9
  6. 17
  7. 28
  8. 700
  9. 1
  10. 14
  11. 24
  12. 19
  13. 9
  14. 5
  15. 16
  16. 13
  17. 120
  18. 300
  19. 5
  20. 5
  21. 100
  22. 420
  23. 32
  24. 8
  25. 13
  26. 190
  27. 20
  28. 48
  29. 10
  30. 6
  31. 8
  32. 3
  33. 13
  34. 23
  35. 160
  36. 32
  37. 63
  38. 330
  39. 280
  40. 15

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