Question

How many km did Yochanan cover by walking and how many did he cover by travelling 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 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

Answer 1

5 km walking, 30 km on the bus.

Explanation:

Let `w` be the distance walking and `b` be the distance on the bus.

The total distance is 35 km.

`w + b = 35`

The total time is 1.5 hours. Each leg has time equal to distance/speed.

`w/5 + b/60 = 1.5`

Multiply by 60 to clear the fractions.

`12 w + b = 90`

Subtract the first equation,

`11w =90-35=55`

`w = 5`

`b = 30`

Check:

`w/5 + b/60 = 1+.5 quad sqrt`