Train Problems Worksheet
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.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
- 2.Two trains, 140 m and 190 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
- 3.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
- 4.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
- 5.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
- 6.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 36 km upstream and come back?
- 7.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 80 km upstream and come back?
- 8.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
- 9.Two trains, 200 m and 130 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?
- 10.Two trains, 170 m and 75 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?
- 11.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
- 12.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
- 13.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 44 km upstream and come back?
- 14.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
- 15.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
- 16.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
- 17.Two trains, 80 m and 220 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?
- 18.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
- 19.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
- 20.Two trains, 50 m and 310 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
- 21.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
- 22.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
- 23.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
- 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
- 25.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
- 26.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
- 27.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
- 28.Two trains, 50 m and 350 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?
- 29.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
- 30.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
- 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.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
- 33.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 78 km upstream and come back?
- 34.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
- 35.Two trains, 70 m and 335 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?
- 36.Two trains, 120 m and 120 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?
- 37.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
- 38.Two trains, 80 m and 60 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?
- 39.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
- 40.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
Answer key
- 9
- 11
- 150
- 250
- 24
- 15
- 24
- 10
- 11
- 7
- 2
- 17
- 48
- 9
- 11
- 20
- 12
- 11
- 29
- 12
- 27
- 19
- 625
- 34
- 32
- 175
- 3
- 10
- 50
- 18
- 4
- 42
- 32
- 30
- 9
- 8
- 110
- 7
- 425
- 600
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