In 2 hours the pedalist covered 54 km, and in the first hour of the euro the speed was 2 times higher than the second.

In 2 hours the pedalist covered 54 km, and in the first hour of the euro the speed was 2 times higher than the second. What was the speed of the cyclist on the second plot of the track?

1. According to the condition of the problem, the cyclist traveled a certain path.
Its length was 54 km.
Let X km / h be the speed of the cyclist in the first hour of movement.
Then ha this time he drove X * 1 = X km.
2. It is known that in the second hour the cyclist doubled his speed.
She began to be 2 * X km / h.
Then in the second hour he drove 23 * X * 1 = 2 * X km.
3. We get an equation with one unknown.
X + 2 * X = 54.
3 * X = 54.
X = 54/3.
X = 18 km / h.
2 * X = 2 * 18 = 36 km / h.
Answer: The speed of the cyclist in the second hour was 36 km / h.



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