Final answer:
To determine the walking time for Inzamam on Wednesday, we create equations based on the information from Monday and Tuesday, solve for the time he spent running and walking on those days, and then calculate the total walking time needed for Wednesday.
Step-by-step explanation:
To solve for the time it takes Inzamam to walk to school on Wednesday based only on the information given, we can set up equations for Monday and Tuesday's journeys and use them to find the walking time. Let's denote the walking speed as w and the running speed as 2w (since he runs twice as fast as he walks). We are told that on Monday, he walked for twice the time he ran. If t represents the time he ran, then the time he walked is 2t. Thus, the total distance to school, which is constant, can be represented by the equation 2wt + 2w(2t) = 4wt + 2wt = 6wt.
On Tuesday, Inzamam ran for twice the time he walked, and he was six minutes quicker than on Monday. So, if we let t/2 represent the time he walked, then he ran for t and the equation for Tuesday would be 2w(t) + w(t/2) = 2wt + wt/2 = 2.5wt. Since he was 6 minutes faster this translates into 6wt - 6 minutes = 2.5wt.
Solving these equations gives us the total walking time t for one segment of the journey. From the equation 6wt = 2.5wt + 6 minutes, we can solve for t. Once we have t, we multiply by 3 to get the total walking time for Wednesday, since Monday's total time is represented by 3t.