Trains, Boats, and Streams Quiz
1️⃣ A train travels 120 km in 2 hours. What is its speed?
40 km/h
60 km/h
80 km/h
100 km/h
Step-by-Step Explanation
Speed = Distance / Time.
Speed = 120 km / 2 hours.
Speed = 60 km/h.
Answer: 60 km/h ✅
2️⃣ A boat travels at a speed of 5 km/h in still water. If the stream speed is 1 km/h, what is the downstream speed?
4 km/h
5 km/h
6 km/h
7 km/h
Step-by-Step Explanation
Downstream speed = Boat speed + Stream speed.
Downstream speed = 5 km/h + 1 km/h.
Downstream speed = 6 km/h.
Answer: 6 km/h ✅
3️⃣ A train crosses a pole in 10 seconds. If its speed is 20 m/s, what is the length of the train?
100 meters
200 meters
300 meters
400 meters
Step-by-Step Explanation
Length of train = Speed * Time.
Length of train = 20 m/s * 10 seconds.
Length of train = 200 meters.
Answer: 200 meters ✅
4️⃣ A boat travels at 8 km/h upstream. If the stream speed is 2 km/h, what is the boat's speed in still water?
6 km/h
8 km/h
10 km/h
12 km/h
Step-by-Step Explanation
Upstream speed = Boat speed - Stream speed.
8 km/h = Boat speed - 2 km/h.
Boat speed = 8 km/h + 2 km/h.
Boat speed = 10 km/h.
Answer: 10 km/h ✅
5️⃣ A train of length 150 meters crosses a platform of length 50 meters. What is the total distance covered?
100 meters
150 meters
200 meters
250 meters
Step-by-Step Explanation
Total distance = Length of train + Length of platform.
Total distance = 150 meters + 50 meters.
Total distance = 200 meters.
Answer: 200 meters ✅
6️⃣ A train 100 meters long crosses a pole in 5 seconds. How long will it take to cross a platform 200 meters long?
10 seconds
15 seconds
20 seconds
25 seconds
Step-by-Step Explanation
Speed of train = Length of train / Time to cross pole.
Speed of train = 100 meters / 5 seconds = 20 m/s.
Total distance to cross platform = Length of train + Length of platform.
Total distance = 100 meters + 200 meters = 300 meters.
Time to cross platform = Total distance / Speed.
Time = 300 meters / 20 m/s = 15 seconds.
Answer: 15 seconds ✅
7️⃣ A boat travels at 12 km/h downstream and 8 km/h upstream. What is the speed of the stream?
1 km/h
2 km/h
3 km/h
4 km/h
Step-by-Step Explanation
Downstream speed = Boat speed + Stream speed.
Upstream speed = Boat speed - Stream speed.
Stream speed = (Downstream speed - Upstream speed) / 2.
Stream speed = (12 km/h - 8 km/h) / 2.
Stream speed = 4 km/h / 2 = 2 km/h.
Answer: 2 km/h ✅
8️⃣ A train travels at 72 km/h. How long will it take to cross a bridge 200 meters long if the train is 160 meters long?
12 seconds
18 seconds
24 seconds
30 seconds
Step-by-Step Explanation
Speed of train = 72 km/h = 72 * (5/18) m/s = 20 m/s.
Total distance = Length of train + Length of bridge.
Total distance = 160 meters + 200 meters = 360 meters.
Time = Total distance / Speed.
Time = 360 meters / 20 m/s = 18 seconds.
Answer: 18 seconds ✅
9️⃣ A boat takes 2 hours to travel 8 km downstream and 4 hours to travel the same distance upstream. What is the speed of the stream?
1 km/h
2 km/h
3 km/h
4 km/h
Step-by-Step Explanation
Downstream speed = 8 km / 2 hours = 4 km/h.
Upstream speed = 8 km / 4 hours = 2 km/h.
Stream speed = (Downstream speed - Upstream speed) / 2.
Stream speed = (4 km/h - 2 km/h) / 2.
Stream speed = 2 km/h / 2 = 1 km/h.
Answer: 1 km/h ✅
🔟 Two trains of lengths 150 meters and 250 meters are traveling in opposite directions. If their speeds are 60 km/h and 40 km/h respectively, how long will they take to cross each other?
12 seconds
14.4 seconds
16 seconds
18 seconds
Step-by-Step Explanation
Relative speed = Speed of first train + Speed of second train.
Relative speed = 60 km/h + 40 km/h = 100 km/h.
Relative speed = 100 * (5/18) m/s = 250/9 m/s.
Total distance = Length of first train + Length of second train.
Total distance = 150 meters + 250 meters = 400 meters.
Time = Total distance / Relative speed.
Time = 400 meters / (250/9 m/s).
Time = 400 * (9/250) seconds.
Time = 1440/250 seconds.
Time = 14.4 seconds.
Answer: 14.4 seconds ✅
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