Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where and
are 2 legs of the triangle, and
is the hypotenuse, aka the longest side of any triangle:
We know and
and want
Therefore, is approximately
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As
⇒ Time traveled by walking =
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running =
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling =
Now,
Total time traveled = Time traveled by walking + running + cycling
= +
+
=
If he cycled the three mile , then total time taken = +
+
= x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 =
⇒
⇒
⇒x = = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = min