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
- 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.
- How many poles will be covered by a train in 4 hours if the train is running at a speed of 45 km/hr, given that the poles on the railway track are 50 m apart and the train crosses a pole at the beginning of its journey.
- The speeds of three trains are in the ratio of 2 : 3 : 5. The amount of time taken by these trains to travel the same distance is in the ratio of:
- Two persons A and B start a journey from the same point at the speeds of 3 km/h and 4 km/h respectively. If they move in the same direction, then what will be the distance between them after 6 h?
- 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.
- If a train runs at an average speed of 42 km/h, then it covers a certain distance in 45 min. What is the speed at which the train must run to reduce the time of the same journey to 35 min?
- The speeds of three cars are in the ratio of 2 : 3 : 4. The ratio of respective time taken by these cars to travel the same distance is:
- Two women walk from a place at the speeds of 6 km/h and 8 km/h respectively. First woman takes 40 min more than the second one to cover the distance. Find the distance.
- The earth takes 24 h to rotate about its own axis. Through what angle will it turn in 5 h and 24 min?
- A horse is running at a speed of 40 km/h and it covers its distance in 3 h. If it has to cover that distance in $2\frac{1}{2}$ h, at what speed should it run?
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?
