I walk a certain distance and ride back taking a total time of 45 minutes. I could walk both ways in 58 minutes. How long would it take me to ride both ways? 33 minutes28 minutes62 minutes26 minutes32 minutes

The problem can be solved by setting up two equations based on the information given:

1. Walking one way and riding back takes 45 minutes.
2. Walking both ways takes 58 minutes.

From this, we can infer that riding is faster than walking. So, the time taken to walk one way is more than half of 58 minutes. Let's denote the time taken to walk one way as 'w' and the time taken to ride one way as 'r'.

From the first condition, we have: w + r = 45 minutes

From the second condition, we know that walking both ways (i.e., walking one way twice) takes 58 minutes, so: 2w = 58 minutes Solving this, we get: w = 29 minutes

Substitute w = 29 minutes into the first equation, we get: 29 + r = 45 Solving for r, we get: r = 45 - 29 = 16 minutes

So, it takes 16 minutes to ride one way. Therefore, to ride both ways, it would take: 2r = 2 * 16 = 32 minutes

So, the answer is 32 minutes.