How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

Question

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.

How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

Answer 1

Let the time walking be w.

Then, as a total of 1.5 hours are taken, bus time = 1.5 - w

As the walking rate is 5 km/hr and the bus rate is 60 km/hour, total travel distance is

5w + 60(1.5 - w)

Distance = 35, so

5w + 60(1.5 - w) = 35

5w + 90 - 60w = 35

55 = 55w

w = 1

Then distance covered walking is 5(1) = 5 km

Distance covered on bus is 60(1.5 - w) = 60(1.5 - 1) = 60 * .5 = 30 km

Note that 5 km + 30 km = 35 km.