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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 73 · 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 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  2. 2.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 117 km upstream and come back?
  3. 3.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.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 16 km upstream and come back?
  6. 6.Two trains, 50 m and 265 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?
  7. 7.Two trains, 150 m and 100 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?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  9. 9.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 60 km upstream and come back?
  10. 10.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)?
  11. 11.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  12. 12.Two trains, 80 m and 320 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.Two trains, 170 m and 145 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 140 m and 460 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?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  19. 19.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  20. 20.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 130 m and 230 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?
  22. 22.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.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 52 km upstream and come back?
  27. 27.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  28. 28.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.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?
  30. 30.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)?
  31. 31.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 130 m and 90 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?
  33. 33.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes at 15 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?
  36. 36.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  37. 37.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  38. 38.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  40. 40.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 20
  2. 130
  3. 2
  4. 13
  5. 10
  6. 7
  7. 10
  8. 20
  9. 20
  10. 7
  11. 24
  12. 10
  13. 9
  14. 22
  15. 22
  16. 12
  17. 128
  18. 5
  19. 21
  20. 13
  21. 12
  22. 10
  23. 90
  24. 3
  25. 2
  26. 56
  27. 27
  28. 24
  29. 45
  30. 5
  31. 4
  32. 11
  33. 80
  34. 2
  35. 10
  36. 12
  37. 200
  38. 8
  39. 15
  40. 21

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