← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 363 · 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 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.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)?
  3. 3.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  5. 5.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 72 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  7. 7.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  9. 9.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 22 km upstream and come back?
  10. 10.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 30 km upstream and come back?
  13. 13.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  14. 14.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  15. 15.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  16. 16.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  17. 17.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 54 km upstream and come back?
  18. 18.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  20. 20.A boat goes at 17 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?
  21. 21.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  24. 24.Two trains, 50 m and 310 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?
  25. 25.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 140 m and 130 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?
  27. 27.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.Two trains, 190 m and 85 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?
  30. 30.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  32. 32.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)?
  33. 33.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  36. 36.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  37. 37.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 9 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?
  39. 39.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?

Answer key

  1. 1
  2. 14
  3. 21
  4. 30
  5. 42
  6. 175
  7. 14
  8. 20
  9. 24
  10. 14
  11. 5
  12. 6
  13. 40
  14. 18
  15. 25
  16. 33
  17. 24
  18. 5
  19. 25
  20. 17
  21. 1
  22. 3
  23. 32
  24. 12
  25. 1
  26. 9
  27. 18
  28. 21
  29. 11
  30. 22
  31. 28
  32. 15
  33. 75
  34. 11
  35. 6
  36. 110
  37. 7
  38. 36
  39. 240
  40. 24

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