Question

Yochanan walked from home to the bus stop at an average speed of 5. He immediately got on his school bus and traveled at an average speed of 60 until he got to school. The total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours.

Answer 1

Answer: Yochanan covered 5km by walking and 30 km by travelling on the bus.

Step-by-step explanation:

Let x represent the distance that Yochanan covered by walking.

Time = distance/speed

Yochanan walked from home to the bus stop at an average speed of 5km/h. This means that the time it took him to travel x km would be

x/5

The distance from his home to school is 35 kilometers. This means that the distance that he covered while travelling on the bus is 35 - x

He immediately got on his school bus and traveled at an average speed of 60km/h until he got to school. It means that the time that it took him to travel (35 - x) km would be

(35 - x)/60

If the entire trip took 1.5 hours, it means that

x/5 + (35 - x)/60 = 1.5

Cross multiplying by 60, it becomes

12x + 35 - x = 90

12x - x = 90 - 35

11x = 55

x = 55/11 = 5

The distance covered while travelling on the bus is

35 - 5 = 30km