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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 382 · 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 at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  2. 2.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.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 45 km upstream and come back?
  5. 5.Two trains, 110 m and 220 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?
  6. 6.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  7. 7.Two trains, 80 m and 145 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?
  8. 8.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  12. 12.Two trains, 90 m and 240 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 train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  14. 14.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  16. 16.Two trains, 60 m and 260 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?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  21. 21.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  22. 22.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  24. 24.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 64 km upstream and come back?
  27. 27.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 130 m and 150 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  31. 31.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  32. 32.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 120 km upstream and come back?
  33. 33.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 50 m and 100 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?
  35. 35.Two trains, 60 m and 60 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?
  36. 36.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.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 99 km upstream and come back?
  38. 38.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  40. 40.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 28
  2. 25
  3. 3
  4. 20
  5. 11
  6. 28
  7. 5
  8. 5
  9. 20
  10. 17
  11. 60
  12. 11
  13. 30
  14. 210
  15. 75
  16. 8
  17. 7
  18. 28
  19. 11
  20. 27
  21. 29
  22. 1
  23. 30
  24. 28
  25. 1
  26. 34
  27. 13
  28. 7
  29. 13
  30. 360
  31. 330
  32. 32
  33. 17
  34. 6
  35. 4
  36. 19
  37. 44
  38. 22
  39. 4
  40. 17

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