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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 93 · 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 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  2. 2.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  4. 4.Two trains, 240 m and 240 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 train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  6. 6.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  8. 8.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  10. 10.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  12. 12.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  13. 13.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  16. 16.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 190 m and 290 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?
  19. 19.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  20. 20.Two trains, 110 m and 310 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?
  21. 21.Two trains, 100 m and 80 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.Two trains, 150 m and 75 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?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  24. 24.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  25. 25.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  27. 27.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  29. 29.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.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 32 km upstream and come back?
  31. 31.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  32. 32.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 130 m and 365 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?
  34. 34.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  35. 35.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  37. 37.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 50 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?

Answer key

  1. 42
  2. 20
  3. 20
  4. 12
  5. 21
  6. 6
  7. 275
  8. 150
  9. 28
  10. 180
  11. 130
  12. 16
  13. 4
  14. 26
  15. 34
  16. 25
  17. 2
  18. 12
  19. 8
  20. 12
  21. 9
  22. 9
  23. 22
  24. 32
  25. 15
  26. 27
  27. 11
  28. 80
  29. 23
  30. 18
  31. 38
  32. 4
  33. 11
  34. 17
  35. 1
  36. 48
  37. 8
  38. 7
  39. 6
  40. 42

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