Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem G. 632. (March 2018)

G. 632. A plane, which is flying at a speed of 900 km/h, uses 4 litres of fuel (kerosene) in each second. What distance is covered in each minute by that car which has a fuel consumption of 6.4 litres of petrol per 100 km and which needs the same amount of petrol in 5 hours as the amount of kerosene consumed by the plane while it covers a distance of one kilometre?

(4 pont)

Deadline expired on April 10, 2018.

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

Megoldás. A repülő 1 óra, vagyis 3600 másodperc alatt 900 km-t tesz meg, tehát 4 másodperc alatt tesz meg 1 km-t, és ezalatt 16 liter kerozint fogyaszt. Az autó a 16 liter benzint $\displaystyle \frac{16}{6{,}4}\cdot 100~\rm km=250 ~\rm km$-en fogyasztja el, és ha ezt 5 óra alatt teszi meg, akkor a sebessége 50 km/h, vagyis 833 m/perc.

Statistics:

 74 students sent a solution. 4 points: 70 students. 3 points: 2 students. 2 points: 1 student. 1 point: 1 student.

Problems in Physics of KöMaL, March 2018