Question

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12. Delilah is going to college in the fall. She
needs to drive from one city to another.
Within the city limits she drives at a speed of
50 km/h. Outside the city, she drives at a
speed of 100 km/h. The trip to the campus is
200 km and takes 2.4 h.
a) Let x represent the distance Delilah
travels at 50 km/h. Let y be the distance
she travels at 100 km/h. Write a system
of linear equations to represent this
situation.
b) How far does Delilah drive at each speed?

Answer 1

At 50 km/hr, she travels a distance of 40 km

At 100 km/hr, she travels a distance of 160 km

Explanation:

The general formula for distance = d = r*t

distance / rate = time

x/50 + y / 100 = 2.4 Multiply by 100

2x + y = 240

x + y = 200

Subtract the two equations

x = 40 km

y = 200 - 40

y = 160 km