Yohanan walked 5.26 kilometers to the bus stop and then took a bus for the rest of the journey. During the bus ride, he traveled 24.74 kilometers to reach school.
How to solve
Let x represent the distance Yochanan covered by walking. Then, the distance he covered by traveling on the bus is 30 - x.
We can set up two equations based on the given information:
x/5 + (30 - x)/20 = 1.5
x + (30 - x) = 30
Solving equation 1, we get:
20x + 30 - x = 90
19x = 60
x = 5.26 km
Solving equation 2, we get:
30 - x = 30 - 5.26 km = 24.74 km
Therefore, Yochanan covered 5.26 kilometers by walking and 24.74 kilometers by traveling on the bus.
Yochanan walked from home to the bus stop at an average speed of 5 km/h. He immediately got on his school bus and traveled at an average speed of 20 km/h until he got to school. The total distance from his home to school is 30 kilometers, and the entire trip took 1.5 hours. How many kilometers did Yochanan cover by walking, and how many kilometers did he cover by traveling on the bus?