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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 722 · 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 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  3. 3.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  4. 4.Two trains, 110 m and 205 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?
  5. 5.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 72 km upstream and come back?
  6. 6.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?
  7. 7.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.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?
  10. 10.Two trains, 60 m and 290 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?
  11. 11.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  14. 14.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  16. 16.Two trains, 230 m and 70 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 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 80 m and 195 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?
  21. 21.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 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 pass a pole?
  23. 23.Two trains, 110 m and 330 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?
  24. 24.Two trains, 210 m and 190 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?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  26. 26.Two trains, 60 m and 190 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?
  27. 27.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.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?
  29. 29.Two trains, 80 m and 170 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?
  30. 30.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 50 m and 175 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?
  32. 32.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  35. 35.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  37. 37.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  38. 38.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.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 120 km upstream and come back?
  40. 40.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?

Answer key

  1. 25
  2. 38
  3. 38
  4. 7
  5. 30
  6. 13
  7. 11
  8. 14
  9. 13
  10. 10
  11. 3
  12. 140
  13. 21
  14. 18
  15. 100
  16. 10
  17. 13
  18. 5
  19. 2
  20. 11
  21. 1
  22. 16
  23. 11
  24. 10
  25. 22
  26. 5
  27. 15
  28. 32
  29. 5
  30. 22
  31. 9
  32. 4
  33. 18
  34. 18
  35. 5
  36. 420
  37. 24
  38. 5
  39. 50
  40. 220

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