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steve drove from A to B in 3 hours. Julie left A at the same time but drove 5km/h slower and arrived at B 20 minutes later than steve. find the distance from A to B in km

Question

steve drove from A to B in 3 hours. Julie left A at the same time but drove 5km/h slower and arrived at B 20 minutes later than steve. find the distance from A to B in km

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Solution

Let's denote the speed of Steve as 's' (in km/h) and the speed of Julie as 's-5' (since she is driving 5km/h slower).

  1. Steve's time is 3 hours, so the distance from A to B (which we'll call 'd') can be expressed as d = s * 3.

  2. Julie's time is 3 hours and 20 minutes, which is 3.33 hours in decimal form. So for Julie, the distance d can be expressed as d = (s-5) * 3.33.

Since the distance d is the same for both Steve and Julie, we can set the two equations equal to each other and solve for 's':

s * 3 = (s-5) * 3.33

Solving this equation gives us s = 50 km/h.

Now that we know Steve's speed, we can find the distance from A to B by substituting s = 50 into the equation d = s * 3:

d = 50 * 3 = 150 km.

So, the distance from A to B is 150 km.

This problem has been solved

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