A car takes 3.5 hours to cover 210 km. how much time will it take to cover 918 km
The correct answer and explanation is:
Let’s solve this step-by-step.
Given:
- Distance covered = 210 km
- Time taken = 3.5 hours
- We want to find the time taken to cover 918 km
Step 1: Calculate the speed of the car
Speed = Distance ÷ Time Speed=210 km3.5 hours=60 km/h\text{Speed} = \frac{210 \text{ km}}{3.5 \text{ hours}} = 60 \text{ km/h}
Step 2: Calculate the time for 918 km using the speed
Time = Distance ÷ Speed Time=918 km60 km/h=15.3 hours\text{Time} = \frac{918 \text{ km}}{60 \text{ km/h}} = 15.3 \text{ hours}
Final Answer:
It will take 15.3 hours (or 15 hours and 18 minutes) to cover 918 km at the same speed.
Explanation (300 words):
To find how long it will take a car to travel a certain distance when you know how long it took to travel a different distance, you can use the relationship between speed, distance, and time.
The fundamental formula is: Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}
From this formula, if you know the speed of the car, you can calculate the time it will take to travel any distance by rearranging the formula to: Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}
In this problem, the car took 3.5 hours to cover 210 km. Dividing the distance by the time gives the speed: 60 km/h60 \text{ km/h}
This means the car travels 60 kilometers every hour.
To find how long it will take to travel 918 km, we use the same speed and calculate the time: 918 km60 km/h=15.3 hours\frac{918 \text{ km}}{60 \text{ km/h}} = 15.3 \text{ hours}
This tells us that traveling 918 km at 60 km/h requires 15.3 hours.
Understanding this method is important because it shows how distance, speed, and time relate to each other. It also assumes the speed remains constant over the entire journey. If the car’s speed changes, or if there are stops or delays, the actual time would differ.
This type of problem is common in everyday life — for example, estimating travel times on road trips or planning logistics. It helps to break down the problem into smaller parts: first calculate the speed, then use that speed to find the new time for a different distance.
If you want to convert 0.3 hours into minutes, multiply 0.3 by 60 minutes: 0.3×60=18 minutes0.3 \times 60 = 18 \text{ minutes}
So, 15.3 hours equals 15 hours and 18 minutes.