To determine the length of the bridge, we can use the formula relating speed, distance, and time:
\(\text{Distance} = \text{Speed} \times \text{Time}\)
Given:
- Speed of the car = 79 km/hr
- Time taken to cross the bridge = 3.6 minutes
First, we need to convert the time from minutes to hours because the speed is given in km/hr.
\(3.6 \text{ minutes} = \frac{3.6}{60} \text{ hours}\)
This simplifies to: \(\frac{3.6}{60} = 0.06 \text{ hours}\)
Now, we substitute the values into the distance formula:
\(\text{Distance} = 79 \, \text{km/hr} \times 0.06 \, \text{hr}\)
Calculating this gives: \(79 \times 0.06 = 4.74 \text{ km}\)
Hence, the length of the bridge is 4.74 km. Therefore, the correct answer is:
- 4.74 km
By clearly understanding the formula and converting the units appropriately, we can accurately solve such problems. It's crucial to match speed units with time units for proper calculation.
Similar Questions
- A man riding on a bicycle at a speed of 36 km/hr crosses a bridge in 54 seconds. Find the length (in metres) 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?
