Final answer:
To find out the total time Carmen spent rock climbing, we first calculate the climbing time for Saturday by multiplying Thursday's time (1 1/2 hours) by 1.5, obtaining 2.25 hours. We add it to Thursday's climbing time to get a total of 3.75 hours over the two days.
Step-by-step explanation:
The problem presented involves calculating the total time Carmen spent rock climbing on two separate days. First, we find the amount of time she spent climbing on Saturday by taking the duration of Thursday's climbing session and multiplying it by 1.5, as she climbed 1.5 times longer on Saturday. Once we have both durations, we add them together to determine the total time spent climbing.
Carmen climbed for 1 1/2 hours on Thursday. To find out how long she climbed on Saturday, we perform the following calculation:
Thursday climbing time x 1.5 = Saturday climbing time
1.5 hours x 1.5 = 2.25 hours
Now, we sum the time she spent climbing on Thursday and Saturday:
Thursday + Saturday climbing time = Total climbing time
1.5 hours + 2.25 hours = 3.75 hours
Therefore, Carmen spent a total of 3.75 hours rock climbing over the two days.