Question

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line.

How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?
6 kilometers
8 kilometers
23 kilometers
32 kilometers

Answer 1

6 KILOMETERS

the answer is a

Answer 2

Mr. Jones take 6 km less when he goes by shortcut instead of the long route.

Explanation:

We shall use the pythagoras theorem here to solve.

a^2 + 15^2 =17^2

a^2+225=289

a^2=64

a=8

Since a =8, the long route distance is 8+15=23

The short route distance is 17 km

So, (23-17)=6 km.. So Mr. Jones take 6 km less when he goes by shortcut instead of the long route.