In the first hour, the motorcyclist covered 35% of his way in the second hour, zero point four tenths of the way

In the first hour, the motorcyclist covered 35% of his way in the second hour, zero point four tenths of the way, and in the third hour, the remaining 37.5 km, what distance did the motorcyclist travel in these 3 hours?

Let the whole distance be x kilometers. In the first hour, the motorcyclist drove 0.35x kilometers (35% = 0.35; to find the fraction of a number, you need to multiply this fraction by the number), in the second hour he drove 0.4 kilometers and in the third hour – 37.5 km. In three hours, the motorcyclist traveled (0.35x + 0.4x + 37.5) kilometers or x kilometers. Let’s make an equation and solve it.

0.35x + 0.4x + 37.5 = x;

0.75x + 37.5 = x;

x – 0.75x = 37.5;

0.25x = 37.5;

x = 37.5: 0.25;

x = 150 (km)

Answer. 150 kilometers.