To solve the problem, we need to follow these steps:
1. Convert the walking time to seconds.
2. Calculate the running time based on the running speed being 1.5 times faster than the walking speed.
3. Determine the time Rahul reached college by subtracting the running time from the time he would normally arrive when walking.
Let's execute these steps:
Step 1: Convert the walking time to seconds.
Rahul takes 10 minutes and 18 seconds to reach college by walking.
We have 10 minutes = 10 * 60 seconds = 600 seconds.
Add the 18 seconds to this to get the total walking time in seconds.
Total walking time = 600 + 18 = 618 seconds.
Step 2: Calculate the running time.
Running speed is 1.5 times faster than walking speed, meaning it takes 1/1.5 times the walking time.
So, running time in seconds = walking time in seconds / 1.5
Running time = 618 seconds / 1.5 = 412 seconds.
Step 3: Determine the time Rahul reached college.
If Rahul walked, he would take 618 seconds, but if he ran, he took 412 seconds. To determine the time he reached college, we would subtract the time he saved by running from his usual arrival time.
We need a reference arrival time to subtract from. As we don't have the exact start time or the usual arrival time provided in the question, let's assume he usually arrives exactly at his class start time, which is missing from the problem statement. In reality, we would subtract the difference in walking and running time from his usual arrival time.
In the absence of specific details about his class schedule, we cannot calculate the exact time he reached college. However, we can say that he saved (618 - 412) seconds, which is 206 seconds, by running instead of walking. Thus, Rahul reached college 206 seconds earlier than usual.
To convert the saved time into minutes and seconds for better understanding:
206 seconds = 3 minutes and 26 seconds (since 206 / 60 = 3 remainder 26).
So, Rahul reached 3 minutes and 26 seconds earlier than his usual arrival time. To give the exact time Rahul would have reached the college, we'd need to know his usual arrival time, which isn't provided in the question.
