A car leaves Macomb traveling south toward Carbondale at the average rate of 52 mph. At the same time, another car leaves Springfield traveling north toward Chicago at the average rate of 60 mph. If they are traveling the same high way, but going different directions, how long will it take them to meet if the cities are 252 miles apart?

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step-by-step explanation:

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step-by-step explanation:

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen