A car and a truck drove towards each other at the same time from points D and C, the distance was between

| August 31, 2021 | education

A car and a truck drove towards each other at the same time from points D and C, the distance was between 238.68 km. Find the speed of each car if the speed of a truck is 25.3 km / h less than the speed of a passenger car and they met 1.8 hours after leaving.

Let the speed of the truck, kilometers per hour, be x.
The speed of a passenger car (x + 25.3) kilometers per hour.
The distance traveled by a truck and a passenger car covered – (x + 25.3) * 1.8.
The distance between points D and C is 238.68 kilometers.
Let’s compose and solve the equation.
1.8 * x + 1.8 * (x + 25.3) = 238.68;
1.8 * (x + x + 25.3) = 238.68;
2x + 25.3 = 238.68: 1.8;
2x + 25.3 = 132.6;
2x = 132.6-25.3;
2x = 107.3;
x = 53.65 the speed of kilometers per hour of the truck.
Let’s find the speed of a car.
53.65 + 25.3 = 78.95 kilometers per hour.
Answer: The speed of a truck is fifty-three kilometers and six hundred and fifty meters per hour, and the speed of a passenger car is seventy-eight kilometers and nine hundred and fifty meters per hour.



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