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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 331 · 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 at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  4. 4.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  5. 5.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  7. 7.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?
  8. 8.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  9. 9.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 84 km upstream and come back?
  11. 11.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  14. 14.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  15. 15.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.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 12 km upstream and come back?
  18. 18.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  20. 20.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  26. 26.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 50 m and 220 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 running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  29. 29.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  30. 30.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?
  31. 31.Two trains, 160 m and 115 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?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  33. 33.Two trains, 80 m and 190 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 boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 15 km upstream and come back?
  37. 37.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 16
  2. 28
  3. 380
  4. 28
  5. 6
  6. 20
  7. 19
  8. 19
  9. 210
  10. 21
  11. 9
  12. 160
  13. 4
  14. 34
  15. 9
  16. 24
  17. 5
  18. 440
  19. 20
  20. 11
  21. 20
  22. 21
  23. 16
  24. 22
  25. 33
  26. 13
  27. 9
  28. 75
  29. 24
  30. 28
  31. 11
  32. 19
  33. 6
  34. 4
  35. 43
  36. 16
  37. 8
  38. 15
  39. 5
  40. 8

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