Yuto left his house at 10 a.M. To go for a bike ride. By the time Yuto's sister Riko left their house, Yuto was already 5.25 mil

Response:

The time range is;

from 10 am to 10:52 am

(At this moment, she will catch up at precisely 10:52 am, 30 seconds)

Detailed explanation:

We need to calculate the time it will take Riko to cover the same distance as Yuto.

In generic terms, at any time:

Speed = distance/time

Let x denote the time we want to find in minutes

At x minutes, Riko will have traveled 0.35 * x = 0.35x miles

At x minutes, Yuto will have covered a distance of 5.25 miles + 0.25 * x = (5.25 + 0.25x) miles

Note that at time x minutes, the distances traveled will be equal;

So,

0.35x = 5.25 + 0.25x

0.35x -0.25x = 5.25

0.1x = 5.25

x = 5.25/0.1

x = 52.5 minutes

During a span of 52.5 minutes, Riko will trail her brother;

Since Yuto left at 10 am, the time range extends from;

10 am to 10:52 am

Response:

Sample Explanation: This solution illustrates that Riko will be trailing Yuto from the moment she departs the house, which is when t = 0, until she reaches Yuto after 52.5 minutes, corresponding to t = 52.5. Time cannot be less than zero as it represents a non-negative quantity.

Detailed explanation: Directly from Edg2020