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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 978 · 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 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 110 m and 160 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?
  3. 3.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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 40 km upstream and come back?
  8. 8.Two trains, 60 m and 90 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?
  9. 9.Two trains, 100 m and 180 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?
  10. 10.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  11. 11.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.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 60 km upstream and come back?
  14. 14.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.Two trains, 160 m and 110 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?
  17. 17.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 96 km upstream and come back?
  18. 18.Two trains, 50 m and 50 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?
  19. 19.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 88 km upstream and come back?
  21. 21.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  23. 23.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  24. 24.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?
  25. 25.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  26. 26.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  28. 28.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 220 m and 165 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  31. 31.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?
  32. 32.Two trains, 160 m and 50 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?
  33. 33.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  34. 34.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  35. 35.Two trains, 220 m and 50 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?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  37. 37.Two trains, 90 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?

Answer key

  1. 5
  2. 9
  3. 10
  4. 13
  5. 12
  6. 14
  7. 24
  8. 5
  9. 8
  10. 33
  11. 100
  12. 29
  13. 16
  14. 20
  15. 18
  16. 9
  17. 28
  18. 5
  19. 23
  20. 55
  21. 1
  22. 31
  23. 420
  24. 12
  25. 300
  26. 4
  27. 23
  28. 14
  29. 27
  30. 11
  31. 13
  32. 6
  33. 36
  34. 225
  35. 6
  36. 33
  37. 8
  38. 150
  39. 28
  40. 26

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