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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 666 · 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 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 170 m and 180 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?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  4. 4.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  5. 5.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 160 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?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  8. 8.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 160 m and 260 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.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  11. 11.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  12. 12.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 24 km upstream and come back?
  13. 13.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  16. 16.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  17. 17.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.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?
  20. 20.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  21. 21.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  22. 22.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  23. 23.Two trains, 80 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  24. 24.Two trains, 50 m and 310 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?
  25. 25.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 120 km upstream and come back?
  26. 26.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 90 km upstream and come back?
  28. 28.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  31. 31.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  32. 32.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  36. 36.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  38. 38.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?

Answer key

  1. 5
  2. 10
  3. 39
  4. 26
  5. 5
  6. 9
  7. 24
  8. 21
  9. 12
  10. 38
  11. 28
  12. 5
  13. 1
  14. 1
  15. 375
  16. 270
  17. 3
  18. 12
  19. 13
  20. 19
  21. 90
  22. 500
  23. 8
  24. 12
  25. 45
  26. 17
  27. 24
  28. 32
  29. 50
  30. 160
  31. 40
  32. 240
  33. 22
  34. 12
  35. 23
  36. 32
  37. 26
  38. 18
  39. 14
  40. 35

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