Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph. If the total trip to the park took 7 hours and it was 52 miles away, how long did julio travel at each speed?

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be

And the time Julio travel by walking be

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

So, the distance travelled by bike:

Speed × time

And, the distance travelled by walking:

Speed × time

Now, the total distance travelled by Julio:

Substituting the value of from equation (1) we get:

Subtracting both sides by 49 we get:

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of :

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

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