# 986 *. The cyclist prookhat a part of a way with a speed of 18 km/h, and with a speed of 13 km/h and spent the rest of a way for all way 61/4chasa. Back it speeded also 61/4 hours at 16 km/h. What distance was passed by the cyclist with a speed of 18 km/h?

Favst

339

The general way of the cyclist makes 16 * 6.25 = 100 km. Let 18 km/h it speeded at the X hours, then with a speed of 13 km/h - 6.25 - the X hours. We receive the equation 18 * X + 13 * (6.25 - X) = 81.25 + 5 * X =100 from where X = 3.75 hours. So, with a speed of 18 km/h the cyclist passed 18 * 3.75 = 67.5 km.

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