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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 224 · 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 train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 170 m and 325 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?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  5. 5.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  9. 9.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  11. 11.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  19. 19.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  20. 20.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  21. 21.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  23. 23.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 24 km upstream and come back?
  24. 24.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.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?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 48 km upstream and come back?
  28. 28.A boat goes 48 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)?
  29. 29.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  31. 31.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.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 72 km upstream and come back?
  33. 33.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 60 km upstream and come back?
  34. 34.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 98 km upstream and come back?
  35. 35.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  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 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?
  38. 38.Two trains, 50 m and 300 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?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 75 km upstream and come back?
  40. 40.Two trains, 60 m and 435 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. 5
  2. 11
  3. 15
  4. 18
  5. 18
  6. 29
  7. 22
  8. 13
  9. 14
  10. 460
  11. 160
  12. 15
  13. 9
  14. 1
  15. 19
  16. 20
  17. 3
  18. 420
  19. 25
  20. 32
  21. 210
  22. 21
  23. 7
  24. 29
  25. 22
  26. 14
  27. 10
  28. 15
  29. 28
  30. 26
  31. 180
  32. 42
  33. 25
  34. 56
  35. 4
  36. 30
  37. 22
  38. 10
  39. 18
  40. 11

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