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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 104 · 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 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  2. 2.A train 390 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 24 seconds. How long is the train (in metres)?
  4. 4.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 170 m and 100 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?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  8. 8.Two trains, 50 m and 250 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?
  9. 9.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 170 m and 370 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  13. 13.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  14. 14.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 100 m and 50 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?
  16. 16.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.Two trains, 70 m and 110 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?
  19. 19.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  20. 20.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  25. 25.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  28. 28.Two trains, 200 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  29. 29.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  33. 33.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.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 84 km upstream and come back?
  37. 37.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 35 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)?
  39. 39.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  40. 40.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 20
  2. 26
  3. 480
  4. 9
  5. 18
  6. 6
  7. 13
  8. 12
  9. 12
  10. 17
  11. 12
  12. 110
  13. 28
  14. 2
  15. 5
  16. 16
  17. 25
  18. 6
  19. 22
  20. 650
  21. 27
  22. 8
  23. 32
  24. 42
  25. 9
  26. 5
  27. 18
  28. 6
  29. 260
  30. 100
  31. 49
  32. 36
  33. 25
  34. 14
  35. 20
  36. 48
  37. 4
  38. 6
  39. 580
  40. 14

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