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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 248 · 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 running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  2. 2.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 72 km upstream and come back?
  3. 3.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  4. 4.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)?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 108 km upstream and come back?
  6. 6.Two trains, 190 m and 110 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?
  7. 7.Two trains, 100 m and 320 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  8. 8.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  9. 9.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?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  12. 12.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  13. 13.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  14. 14.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  16. 16.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.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 120 km upstream and come back?
  19. 19.Two trains, 110 m and 370 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?
  20. 20.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  21. 21.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  23. 23.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  25. 25.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  28. 28.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 90 km upstream and come back?
  29. 29.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.Two trains, 70 m and 155 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?
  31. 31.Two trains, 80 m and 320 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?
  32. 32.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  33. 33.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  34. 34.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 36 km upstream and come back?
  35. 35.Two trains, 60 m and 480 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?
  36. 36.A train running at 72 km/h passes a pole in 10 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 170 m long?
  38. 38.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  39. 39.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 475
  2. 15
  3. 220
  4. 3
  5. 60
  6. 12
  7. 12
  8. 32
  9. 25
  10. 13
  11. 9
  12. 35
  13. 25
  14. 6
  15. 7
  16. 13
  17. 27
  18. 70
  19. 12
  20. 750
  21. 19
  22. 45
  23. 26
  24. 550
  25. 4
  26. 3
  27. 28
  28. 28
  29. 30
  30. 9
  31. 8
  32. 25
  33. 32
  34. 15
  35. 12
  36. 200
  37. 25
  38. 26
  39. 27
  40. 6

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