Train Distance Calculation: Meters Covered
To find the distance the train covers, we need to ensure the units of speed and time are consistent and then use the distance formula.
Speed Conversion
The train's speed is given as 90 km/h. We need to convert this to meters per second (m/s) because the question asks for the distance in meters.
- 1 km = 1000 m
- 1 hour = 3600 s
- Speed in m/s = Speed in km/h $\times \frac{1000}{3600}$ = Speed in km/h $\times \frac{5}{18}$
- Speed = $90 \times \frac{5}{18}$ m/s
- Speed = $5 \times 5$ m/s
- Speed = 25 m/s
Time Conversion
The time is given as 15 minutes. We need to convert this to seconds.
- 1 minute = 60 seconds
- Time = $15 \times 60$ s
- Time = 900 s
Distance Calculation
Now, use the formula: Distance = Speed $\times$ Time.
- Distance = 25 m/s $\times$ 900 s
- Distance = 22500 m
The train will cover 22500 meters in 15 minutes.
Similar Questions
- A man driving a car at a speed of 79 km/hr crosses a bridge in 3.6 minutes. Find the length of the bridge.
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Important Questions from Speed Time and Distance
A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.
Rohit and Dinesh are 64 km apart. Rohit can walk at a speed of 15 km/hr and Dinesh at the speed of 17 km/hr. In how many hours will they meet if they are travelling towards each other?
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:
A worker covers a distance of 81 km in 11 hours. He travels partly on foot at 4.5 km/h and partly on bicycle at 15 km/h. What is the distance covered on the cycle?
