hi, i'm having trouble with this question:
The cost of running a train at a constant speed of v km/h is C=50+v^2/1000 dollars/hour
find the time taken for an 800km journey in terms of v.
To find the time taken for an 800km journey in terms of v, we need to use the formula for speed, which is distance divided by time. In this case, we already have the distance (800km), so we can rearrange the formula to solve for time.
From the given information, we know that the train is running at a constant speed of v km/h. Therefore, the speed is equal to v km/h, and the distance is 800 km. We can plug these values into the formula to find the time.
Speed = Distance / Time
v = 800 / Time
To solve for time, let's rearrange the formula:
Time = Distance / Speed
Time = 800 / v
So, the time taken for an 800km journey in terms of v is 800 / v.