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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 368 · 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 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  2. 2.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  3. 3.Two trains, 110 m and 70 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?
  4. 4.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.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)?
  7. 7.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  9. 9.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  12. 12.Two trains, 160 m and 240 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?
  13. 13.Two trains, 200 m and 205 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?
  14. 14.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  16. 16.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 112 km upstream and come back?
  18. 18.Two trains, 80 m and 145 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?
  19. 19.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 190 m and 215 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?
  22. 22.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  24. 24.Two trains, 60 m and 210 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.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 110 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  30. 30.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  33. 33.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.Two trains, 230 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?
  37. 37.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  38. 38.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 150 m and 60 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?
  40. 40.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 38
  2. 12
  3. 6
  4. 19
  5. 25
  6. 12
  7. 25
  8. 120
  9. 23
  10. 33
  11. 10
  12. 10
  13. 9
  14. 16
  15. 11
  16. 4
  17. 18
  18. 5
  19. 20
  20. 11
  21. 9
  22. 130
  23. 28
  24. 6
  25. 18
  26. 325
  27. 7
  28. 12
  29. 26
  30. 1
  31. 4
  32. 28
  33. 28
  34. 5
  35. 20
  36. 10
  37. 390
  38. 1
  39. 6
  40. 11

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