Calculate Bridge Length from Speed and Time
The problem requires finding the length of a bridge based on the speed of a car and the time it takes to cross the bridge.
Given Information
- Speed of the car ($v$): 41 km/hr
- Time taken to cross the bridge ($t$): 2.4 minutes
Formula Used
The relationship between distance, speed, and time is given by the formula:
$ \text{Distance} = \text{Speed} \times \text{Time} $
In this case, the distance is the length of the bridge.
Unit Conversion
The speed is given in kilometers per hour (km/hr), but the time is given in minutes. To use the formula, the units must be consistent. Convert the time from minutes to hours:
$ t_{\text{hours}} = \frac{t_{\text{minutes}}}{60} $
$ t = \frac{2.4}{60} \text{ hours} = 0.04 \text{ hours} $
Length Calculation
Now, substitute the speed and the converted time into the distance formula:
$ \text{Length} = v \times t_{\text{hours}} $
$ \text{Length} = 41 \text{ km/hr} \times 0.04 \text{ hours} $
$ \text{Length} = 1.64 \text{ km} $
Final Answer
The length of the bridge is 1.64 km.
Similar Questions
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Important Questions from Speed Time and Distance
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
