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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 192 · 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 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?
  2. 2.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  3. 3.Two trains, 80 m and 270 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?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  5. 5.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  7. 7.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  9. 9.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  10. 10.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  11. 11.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.Two trains, 110 m and 170 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?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  14. 14.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.Two trains, 230 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 16 km upstream and come back?
  17. 17.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  19. 19.A boat goes 22 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)?
  20. 20.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  23. 23.Two trains, 90 m and 210 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?
  24. 24.A train 100 m long runs at 72 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 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  26. 26.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  29. 29.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  35. 35.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  39. 39.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?
  40. 40.Two trains, 90 m and 180 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?

Answer key

  1. 12
  2. 100
  3. 7
  4. 42
  5. 18
  6. 21
  7. 12
  8. 575
  9. 20
  10. 22
  11. 600
  12. 7
  13. 22
  14. 23
  15. 11
  16. 5
  17. 6
  18. 20
  19. 10
  20. 24
  21. 12
  22. 18
  23. 12
  24. 5
  25. 26
  26. 3
  27. 10
  28. 21
  29. 9
  30. 14
  31. 2
  32. 22
  33. 21
  34. 26
  35. 20
  36. 30
  37. 23
  38. 34
  39. 5
  40. 9

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