Please find the attached file for a better understanding of the explanation given here.
the attached diagram is a generated image of the first fifteen rows of a pascal's triangle. As can be seen from the image, the least four-digit number in the first fifteen rows of pascal's triangle is 1001.
In the diagram attached that number is present in the very last row and is highlighted using a yellow rectangle.
Answer:
Julio travel <u>3 hours</u> by biking and <u>4 hours</u> 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:
<em>Subtracting both sides by 49 we get:</em>
<em>The time Julio travelled with bike = 3 hours.</em>
Now, to get the time Julio travelled by walking by substituting the value of :
<em>The time Julio travelled by walking = 4 hours.</em>
Therefore, Julio travel 3 hours by biking and 4 hours by walking.