Problema Solution

Erica hiked up a mountain trail at 3 km/h and returned at 4 km/h. The entire trip took 280 minutes. How long was the trail?

Answer provided by our tutors

D=RT

D=3X UP THE MOUNTAIN

D=4(14/3-X)

3X=56/3-4X

3X+4X=56/3

7X=56/3

X=(56/3)/7

X=56/3*1/7


X=56/21

X=8/3 

X=2 HOURS 40 MIN TO CLIMB UP THE MOUNTAIN.

D=3*8/3

D=8 MILES UP THE MOUNTAIN.

PROOF:

8=4(14/3-8/3)

8=4(6/3)

8=4*28=8