Bridge Length Calculation Using Speed and Time
This problem involves calculating the distance (length of the bridge) given the speed of an object and the time taken to cross it.
Convert Speed to Metres Per Second
The speed is given in kilometres per hour (km/hr), but the time is in seconds, and the required length is in metres. We need to convert the speed to metres per second (m/s).
- Given Speed = 36 km/hr.
- Conversion factor: 1 km/hr = $\frac{5}{18}$ m/s.
- Speed in m/s = $36 \times \frac{5}{18}$ m/s.
- Speed = $2 \times 5$ m/s = 10 m/s.
Calculate Bridge Length
The length of the bridge is the distance covered by the bicycle when crossing it.
- Formula: Distance = Speed × Time
- Speed = 10 m/s
- Time = 54 seconds
- Length of Bridge = $10 \text{ m/s} \times 54 \text{ s}$
- Length of Bridge = 540 metres.
The length of the bridge is 540 metres.
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.
- Ravikant cycles at a speed of $12.5\text{ km/h}$ and walks at a speed of $3\text{ km/h}$. To cover a distance of $40\text{ km}$ by cycle and walk both, Ravikant took $7\text{ hours}$. How many of these hours were spent cycling?
- A salesman has to cover 6 km in $\frac{3}{4}$ h. If he covers $\frac{1}{2}$ of the distance in $\frac{2}{3}$ of the total time, then what must be his speed (in km/h) to cover the remaining distance in the remaining time?
- A thief steals a bag from the car at $3\text{ p.m.}$ and drives away at a speed of $50\text{ km/h}$. The thief is located at $4\text{ p.m.}$ and the owner sets off in his car at a speed of $70\text{ km/h}$. When will he catch the thief?
- A train is moving with the speed of 90 km/h. How many meters will it cover in 15 min?
- Rohan can travel from Delhi to Kanyakumari in 30 h. If he reduces his speed by $\frac{1}{15}$th, he goes 10 km less in the same time. Find the speed.
- Train A leaves station M at 6:25 AM and reaches station N at 3:25 PM on the same day. Train B leaves station N at 8:25 AM and reaches station M at 2:25 PM on the same day. Find the time when trains A and B meet.
- Diya has to reach Surat which is 811 km away in 14 hours. His starting speed for 5 hours was 91 km/hr. For the next 84 km his speed was 84 km/hr. By what speed he must travel now so as to reach Surat in the decided time of 14 hours?
- Ishaan and Meghna have to travel from Delhi to Kanpur in their respective cars. Ishaan is driving at 90 km/hr while Meghna is driving at 65 km/hr. Find the time taken by Meghna to reach Kanpur if Ishaan takes 13 hours.
- A man driving a car at a speed of 41 km/hr crosses a bridge in 2.4 minutes. Find the length of the bridge.
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?
