Answer:
the scenic route take 6h 40m
Step-by-step explanation:
first we have to make an equation that represents the relationship of each route
x = scenic route
y = direct route
x = y + y * 25/100
now we have to make an equation that represents the routes over time
x + y = 12
we replace the x by what is the same in the first equation (y + y * 25/100) in the second equation
x + y = 12
(y + y * 25/100) + y = 12
2 y + 0.25 y = 12
2.25y = 12
y = 12/2.25
if we spend this in minutes multiplying it by 60
y = 12/2.25 * 60 = 320 m = 5h 20m
x + y = 12
x + (5h 20m) = 12h
x = 12h - 5h 20m
x = 6h 40m
Answer: the scenic route would take 6.67 hours.
Step-by-step explanation:
Let t represent the time it takes the team to travel through the direct route.
The scenic route takes 25% longer than the direct route. This means that the time it will take the team to travel through the scenic route is
t + (25/100 × t) = t + 0.25t = 1.25t
If the total travel time to and from the destination is 12 hours, it means that
t + 1.25t = 12
2.25t = 12
t = 12/2.25
t = 5.33 hours
The time it will take to travel the scenic route is
12/2.25 × 1.25 = 6.67 hours
