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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 884 · 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 boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 120 m and 55 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?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  4. 4.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  6. 6.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 120 m and 265 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?
  10. 10.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  11. 11.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  13. 13.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  18. 18.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  19. 19.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  20. 20.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 28 km upstream and come back?
  21. 21.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 240 m and 145 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?
  23. 23.A train 270 m long runs at 54 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 30 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  26. 26.Two trains, 70 m and 80 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?
  27. 27.Two trains, 110 m and 130 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?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  29. 29.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 130 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 48 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)?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  33. 33.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  35. 35.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 32 km upstream and come back?
  36. 36.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  38. 38.Two trains, 70 m and 370 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  39. 39.Two trains, 190 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?
  40. 40.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 1
  2. 7
  3. 24
  4. 6
  5. 75
  6. 5
  7. 4
  8. 2
  9. 11
  10. 33
  11. 12
  12. 32
  13. 9
  14. 25
  15. 260
  16. 24
  17. 650
  18. 39
  19. 22
  20. 15
  21. 11
  22. 11
  23. 18
  24. 450
  25. 9
  26. 6
  27. 8
  28. 26
  29. 14
  30. 18
  31. 20
  32. 35
  33. 3
  34. 38
  35. 20
  36. 15
  37. 28
  38. 11
  39. 8
  40. 13

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