← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 183 · 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 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  4. 4.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)?
  5. 5.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 88 km upstream and come back?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  8. 8.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  9. 9.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  10. 10.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 110 m and 65 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?
  12. 12.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  17. 17.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  18. 18.Two trains, 110 m and 65 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?
  19. 19.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  20. 20.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  22. 22.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  24. 24.Two trains, 200 m and 200 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?
  25. 25.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  29. 29.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  30. 30.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 70 m and 140 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?
  32. 32.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.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)?
  35. 35.Two trains, 170 m and 270 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?
  36. 36.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.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?
  38. 38.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 140 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?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?

Answer key

  1. 29
  2. 10
  3. 195
  4. 2
  5. 3
  6. 96
  7. 12
  8. 18
  9. 435
  10. 29
  11. 5
  12. 26
  13. 450
  14. 3
  15. 8
  16. 120
  17. 35
  18. 7
  19. 27
  20. 17
  21. 35
  22. 6
  23. 33
  24. 10
  25. 18
  26. 15
  27. 3
  28. 26
  29. 30
  30. 10
  31. 6
  32. 2
  33. 23
  34. 10
  35. 11
  36. 60
  37. 5
  38. 6
  39. 11
  40. 72

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude