From two villages along the road, two cyclists left at the same time towards each other, one of whom was traveling
From two villages along the road, two cyclists left at the same time towards each other, one of whom was traveling at a speed of 16.2 km / h and the other, and the other at a speed of 17 km / h. What is the length of the road between the villages if the cyclists met in 1.5 hours?
1. Length of the road between the villages: S km;
2. The speed of the first cyclist: V1 = 16.2 km;
3. Speed of movement of the second cyclist: V1 = 17 km;
4 Cyclists were riding towards each other. Time: T = 1.5 hours;
The first solution.
5. The total speed (speed of approach) of cyclists: V km / h;
V = V1 + V2 = 16.2 + 17 = 33.2 km / h;
6. Find the distance that the cyclists traveled before the meeting:
S = V * T = 33.2 * 1.5 = 49.8 km;
Second solution.
7. Distance, which the first cyclist will travel to the meeting: S1 km;
S1 = V1 * T = 16.2 * 1.5 = 24.3 km;
8 Distance covered by the second cyclist during the same time: S km;
S = V2 * T = 17 * 1.5 = 25.5 km;
9. Distance between villages:
S = S1 + S2 = 24.3 + 25.5 = 49.8 km.
Answer: the length of the road between the villages is 49.8 km.