Question

Yochanan walked from home to the bus stop at an average speed of 55 \text{km/h}km/h. He immediately got on his school bus and traveled at an average speed of 6060 \text{km/h}km/h until he got to school. The total distance from his home to school is 3535 kilometers, and the entire trip took 1.51.5 hours. How many kilometers did Yochanan cover by walking, and how many kilometers did he cover by travelling on the bus?

Answer 1

Distance Walked = 5km

Distance on bus =30 km

Explanation:

Let the time spent walking=x

Let the time on the school bus=y

Time Spent on the entire trip=1.5 hours

Therefore:

x+y=1.5...(1)

Now Distance=Average Speed X Time

Average Walking Speed =5km/hr

Distance Walked=Average Walking Speed X Time Taken

Distance Walked = 5x

Average Bus Speed =60km/hr

Distance on Bus=Average Bus Speed X Time Taken

Distance On bus = 60y

Total Distance = 35 km

Therefore:

5x+60y=35...(2)

We solve Equations 1 and 2 to get the values of x and y.

x+y=1.5

5x+60y=35

From (1), x=1.5-y

5(1.5-y)+60y=35

7.5-5y+60y=35

55y=35-7.5

55y=27.5

y=0.5 hour

x=1.5-y = 1.5-0.5=1 hour

Distance Covered Walking = 5x = 5 X 1 = 5km

Distance on bus = 60X0.5 =30 km