 Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem K. 590. (September 2018)

K. 590. Andrew, Bill and Charlie participated in a running race. At the end, Bill and Carlie, respectively, were 15 metres and 35 metres behind when Andrew finished. When Bill finished, Charlie was still 22 metres behind him. What was the distance covered by the runners, given that each boy was running at a uniform speed?

(6 pont)

Deadline expired on October 10, 2018.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Béla $\displaystyle 20$ méterrel volt Csaba előtt, és ekkor neki még $\displaystyle 15$ méter volt hátra a versenyből, így $\displaystyle 15$ méter alatt $\displaystyle 2$ méter további előnyre tett szert Csabával szemben. A $\displaystyle 22$ méter előnyt így összesen $\displaystyle 11\cdot15=165$ méter alatt tudta megszerezni, tehát a verseny távja $\displaystyle 165$ méter volt.

### Statistics:

 225 students sent a solution. 6 points: 176 students. 5 points: 4 students. 4 points: 2 students. 3 points: 1 student. 2 points: 8 students. 1 point: 3 students. Not shown because of missing birth date or parental permission: 31 solutions.

Problems in Mathematics of KöMaL, September 2018