After driving 3 hours on a dirt road and 0.5 hours on an asphalt road, the motorcyclist traveled 110 km.
| January 3, 2021 | education
After driving 3 hours on a dirt road and 0.5 hours on an asphalt road, the motorcyclist traveled 110 km. The speed of a motorcyclist on an asphalt road is 10 km / h. Find the motorcyclist’s scarcity on dirt and asphalt roads.
1. Determine the speed of a motorcyclist on a dirt road. Let the speed of a motorcyclist on a dirt road be a km / h, then his speed on an asphalt road will be (a + 10) km / h. Let’s make the equation:
3a + 0.5 x (a + 10) = 110;
3a + 0.5a + 5 = 110;
3.5a = 110 – 5;
3.5a = 105;
a = 105: 3.5;
a = 30 km / h;
2. Determine the speed of a motorcyclist on an asphalt road:
30 + 10 = 40 km / h.
Answer: 30 km / h on a dirt road and 40 km / h on an asphalt road will be the speed of a motorcyclist.
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