Question

Malia and Omar want to find the shortest route from their school to a local burger

Answer 1

Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

$\frac{a}{b}=\frac{15}{10}$

$\frac{a}{b}=\frac{3}{2}$ --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is $\frac{3}{4}$ of route C.

a = $\frac{3}{4}c$

$\frac{a}{c}=\frac{3}{4}$ ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = $\frac{3}{4}\times 3$ [From equation (2)]

                             = 2.25 km

Length of route B = $\frac{2}{3}\times 2.25$ [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.