The bicycle drove to a neighboring village at a speed of 16 km / h and returned back at a speed of 12 km / h. He spent 7 hours all the way. Find the distance between villages
Let the distance between the villages be x kilometers. When moving at a speed of 16 km / h, the cyclist spent x / 16 hours for the entire journey, and when moving back at a speed of 12 km / h, he spent x / 12 hours. For the entire journey, back and forth, the cyclist spent (x / 16 + x / 12) hours or 7 hours. Let’s make an equation and solve it.
x / 16 + x / 12 = 7 – bring to a common denominator 48;
3x / 48 + 4x / 48 = 7;
7x / 48 = 7/1 – the product of the extreme terms of the proportion is equal to the product of the middle terms;
7x = 336;
x = 336: 7;
x = 48 (km).
Answer. 48 kilometers.
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