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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 98 · 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 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  4. 4.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 170 m and 70 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?
  6. 6.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  7. 7.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 117 km upstream and come back?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  9. 9.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 8 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?
  11. 11.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  14. 14.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 99 km upstream and come back?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  18. 18.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  21. 21.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  22. 22.Two trains, 180 m and 140 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?
  23. 23.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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?
  26. 26.Two trains, 110 m and 100 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?
  27. 27.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  29. 29.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  33. 33.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)?
  34. 34.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  35. 35.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  36. 36.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 108 km upstream and come back?
  37. 37.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 140 m and 210 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?
  39. 39.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 70
  2. 3
  3. 21
  4. 5
  5. 12
  6. 16
  7. 48
  8. 28
  9. 4
  10. 32
  11. 17
  12. 5
  13. 36
  14. 29
  15. 15
  16. 36
  17. 4
  18. 300
  19. 19
  20. 29
  21. 325
  22. 8
  23. 28
  24. 23
  25. 25
  26. 6
  27. 2
  28. 32
  29. 1
  30. 7
  31. 3
  32. 330
  33. 1
  34. 500
  35. 23
  36. 63
  37. 24
  38. 10
  39. 21
  40. 1

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