Elaine drives her car 180 miles and has an average of a certain speed. If the average speed had been 5mph more, she could have traveled 200 miles in the same length of time. What was her average speed?

What was her average speed?

Hello Guest!

\(xt=180ml\\ t=\dfrac{180ml}{x}\\ (x+5ml/h)t=200ml\\ t=\dfrac{200ml}{x+5ml/h}\\ \dfrac{x+5ml/h}{200ml}=\dfrac{x}{180ml}\ |\ \times ml\)

\(180x+900ml/h=200x\ |\ -180x\\ 900ml/h=20x\ |\ :20 \)

\(x=45ml/h\)

Her average speed was 45ml/h.

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