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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 977 · 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 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  2. 2.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  3. 3.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  4. 4.A boat goes 50 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)?
  5. 5.Two trains, 160 m and 200 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?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  8. 8.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 90 m and 210 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?
  11. 11.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 180 m and 60 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?
  13. 13.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  15. 15.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  16. 16.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  17. 17.Two trains, 50 m and 225 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?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  19. 19.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 20 km upstream and come back?
  20. 20.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  21. 21.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  22. 22.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  24. 24.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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?
  26. 26.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 60 m and 220 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?
  28. 28.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  29. 29.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  30. 30.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  32. 32.A boat goes at 7 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?
  33. 33.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  35. 35.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  39. 39.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 119 km upstream and come back?

Answer key

  1. 32
  2. 36
  3. 140
  4. 20
  5. 12
  6. 16
  7. 27
  8. 20
  9. 24
  10. 10
  11. 5
  12. 12
  13. 2
  14. 11
  15. 220
  16. 300
  17. 11
  18. 36
  19. 7
  20. 75
  21. 18
  22. 18
  23. 220
  24. 25
  25. 13
  26. 30
  27. 7
  28. 36
  29. 19
  30. 11
  31. 23
  32. 28
  33. 4
  34. 300
  35. 21
  36. 6
  37. 16
  38. 12
  39. 15
  40. 126

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