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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 570 · 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 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  4. 4.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.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)?
  9. 9.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  11. 11.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  13. 13.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  14. 14.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 70 km upstream and come back?
  16. 16.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  20. 20.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  21. 21.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  22. 22.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  24. 24.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  26. 26.A train 380 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 26 seconds. How long is the train (in metres)?
  28. 28.A boat goes 44 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.Two trains, 100 m and 100 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?
  30. 30.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.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?
  33. 33.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.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)?
  35. 35.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 70 km upstream and come back?
  36. 36.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  38. 38.Two trains, 130 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?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  40. 40.Two trains, 130 m and 95 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?

Answer key

  1. 10
  2. 18
  3. 16
  4. 3
  5. 27
  6. 28
  7. 17
  8. 10
  9. 3
  10. 32
  11. 22
  12. 31
  13. 300
  14. 22
  15. 16
  16. 480
  17. 12
  18. 24
  19. 26
  20. 240
  21. 38
  22. 12
  23. 20
  24. 1
  25. 43
  26. 19
  27. 650
  28. 17
  29. 8
  30. 4
  31. 17
  32. 20
  33. 16
  34. 2
  35. 24
  36. 170
  37. 22
  38. 9
  39. 12
  40. 5

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