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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 949 · 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 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  2. 2.Two trains, 170 m and 105 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?
  3. 3.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.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 45 km upstream and come back?
  5. 5.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  6. 6.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  9. 9.Two trains, 120 m and 55 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.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?
  11. 11.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  12. 12.Two trains, 110 m and 190 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?
  13. 13.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  14. 14.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 117 km upstream and come back?
  19. 19.Two trains, 80 m and 270 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  21. 21.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 56 km upstream and come back?
  22. 22.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  25. 25.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  28. 28.Two trains, 80 m and 120 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.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 60 km upstream and come back?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  32. 32.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  37. 37.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.Two trains, 130 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?
  39. 39.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 54
  2. 11
  3. 26
  4. 14
  5. 34
  6. 5
  7. 20
  8. 23
  9. 5
  10. 7
  11. 17
  12. 10
  13. 195
  14. 25
  15. 1
  16. 10
  17. 250
  18. 130
  19. 10
  20. 35
  21. 32
  22. 22
  23. 475
  24. 18
  25. 15
  26. 300
  27. 23
  28. 5
  29. 11
  30. 64
  31. 21
  32. 114
  33. 20
  34. 210
  35. 24
  36. 38
  37. 105
  38. 8
  39. 5
  40. 26

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