How fast can Stephen travel compared to David?

Question: If Stephen can travel 100 km in the same time that David drives 90 km, and Stephen's speed is 10 km/h faster than David's, what is Stephen's speed? Answer: Stephen's speed is 100 km/h.

To find Stephen's speed, we can set up an equation based on the given information. Let's assume David's speed is x km/h. Since Stephen's speed is 10 km/h faster, his speed would be x + 10 km/h. We know that time is the same for both, and we can use the formula distance = speed × time to set up our equation. So, 100 = (x + 10) × t and 90 = x × t. We can solve these equations to find the value of x, which represents David's speed.

By substituting the second equation into the first equation, we get 100 = (90/t + 10) × t. Simplifying this equation, we get 100 = 90 + 10t. Subtracting 90 from both sides, we have 10 = 10t. Dividing both sides by 10, we find t = 1. Therefore, David's speed is 90 km/h and Stephen's speed is 100 km/h.

So, Stephen can travel at a speed of 100 km/h, which is faster than David who travels at 90 km/h. Stephen's speed allows him to cover more distance in the same time as David, making him the faster traveler in this scenario. Keep in mind that speed is crucial when it comes to calculating travel time and efficiency. In this case, Stephen's higher speed gives him the advantage over David.

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