Two pedestrians left one point in opposite directions. After 1.2 hours, 156 km
Two pedestrians left one point in opposite directions. After 1.2 hours, 156 km were between them. What is the speed of the second and the first if the speed of the first is 1.6 times the second?
Let the speed of the second pedestrian be x kilometers per hour, then the speed of the first pedestrian will be 1.6 kilometers per hour. Then the distance that the second pedestrian traveled will be 1.2 kilometers, and the distance that the first pedestrian traveled will be 1.2 * 1.6 × = 1.92 kilometers. Let’s make the equation:
1.2x + 1.92x = 15.6;
3.12x = 15.6;
x = 15.6: 3.12;
x = 5 (km / h).
Let’s find the speed of the first pedestrian:
1.6 * 5 = 8 (km / h).
Answer: the speed of the first pedestrian is 8 kilometers per hour, the speed of the second pedestrian is 5 kilometers per hour.