Question

The cities Cleveland, Ohio; Erie, Pennsylvania; and Rochester, New York, in respective order, lie approximately in a straight line. The distance from Cleveland to Erie is 94 miles. The distance from Cleveland to Rochester is 239 miles. Find the distance from Erie to Rochester.

Answer 1

Erie to Rochester is 145 miles

Explanation:

If we designate the points of interest as C, E, and R, we are told that ...

CE + ER = CR . . . . . the various distances are segments of a straight line

For CE = 94 and CR = 239, we can fill in the given information and solve for ER.

94 + ER = 239

ER = 239 -94 . . . . . . subtract 94 from both sides of the equation

ER = 145

The distance from Erie to Rochester is 145 miles.