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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 882 · 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 running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  4. 4.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  5. 5.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  9. 9.Two trains, 180 m and 315 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?
  10. 10.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  11. 11.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  13. 13.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.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?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  18. 18.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  19. 19.Two trains, 220 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?
  20. 20.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 130 m and 145 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?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  25. 25.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  30. 30.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  32. 32.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 20 km upstream and come back?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 108 km upstream and come back?
  35. 35.Two trains, 50 m and 450 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?
  36. 36.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  38. 38.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?

Answer key

  1. 550
  2. 24
  3. 210
  4. 360
  5. 4
  6. 17
  7. 26
  8. 13
  9. 11
  10. 30
  11. 375
  12. 22
  13. 21
  14. 7
  15. 12
  16. 25
  17. 15
  18. 390
  19. 8
  20. 16
  21. 1
  22. 12
  23. 11
  24. 16
  25. 24
  26. 16
  27. 750
  28. 150
  29. 36
  30. 33
  31. 160
  32. 32
  33. 11
  34. 45
  35. 10
  36. 31
  37. 5
  38. 3
  39. 2
  40. 33

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