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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 606 · 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 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  2. 2.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  5. 5.Two trains, 60 m and 290 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?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  8. 8.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 210 m and 120 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?
  10. 10.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.Two trains, 170 m and 190 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?
  13. 13.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  16. 16.Two trains, 70 m and 140 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?
  17. 17.Two trains, 140 m and 355 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?
  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 60 km upstream and come back?
  19. 19.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  21. 21.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  25. 25.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  27. 27.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  28. 28.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  30. 30.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  31. 31.Two trains, 90 m and 70 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?
  32. 32.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?
  33. 33.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  34. 34.Two trains, 50 m and 100 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?
  35. 35.Two trains, 60 m and 190 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?
  36. 36.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 255
  2. 24
  3. 1
  4. 475
  5. 10
  6. 13
  7. 9
  8. 19
  9. 11
  10. 10
  11. 580
  12. 12
  13. 13
  14. 27
  15. 29
  16. 7
  17. 11
  18. 35
  19. 20
  20. 22
  21. 2
  22. 7
  23. 175
  24. 100
  25. 28
  26. 360
  27. 19
  28. 105
  29. 21
  30. 35
  31. 4
  32. 13
  33. 550
  34. 5
  35. 10
  36. 19
  37. 22
  38. 29
  39. 6
  40. 7

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