Question

you're driving a car that can climb the maximum gradient of 500m/km. the hill in front of you start at an elevation of 20 meter and reaches 500 meter. The total distance of the heel is 0.5 km? what is the gradient of the hill and will your car make it?

Answer 1

Answer : The gradient of the hill is 960 m/km and and he won't be able to climb.

Solution : Given,

Maximum gradient = 500 m/km

Total distance = 0.5 km

Initial elevation = 20 m

Final elevation = 500 m

Formula used :

$Gradient=\frac{\text{ Change in elevation}}{\text{ Total distance}}$

Now put all the given values in this formula, we get the gradient of the hill.

$Gradient=\frac{500m-20m}{0.5km}=960m/km$

Gradient of the hill is 960 m/km which is greater than the 500 m/km. So, he won't be able to climb.

Therefore, the gradient of the hill is 960 m/km and and he won't be able to climb.