To find out how much time Sanjay traveled at the rate of 18 km/hr, we can use the formula:
Time = Distance / Speed
We know that Sanjay traveled a total distance of 180 km and took 9 hours to cover that distance.
Let's break down his journey into two parts:
- Distance covered at 15 km/hr = 30 km
- Distance covered at 18 km/hr = Total distance - Distance covered at 15 km/hr = 180 km - 30 km = 150 km
Now, we can calculate the time taken for each part:
- Time taken at 15 km/hr = Distance / Speed = 30 km / 15 km/hr = 2 hours
- Time taken at 18 km/hr = Distance / Speed = 150 km / 18 km/hr = 8.33 hours (approximately)
Since we know he took 9 hours in total for the entire journey, we can subtract the time taken at 15 km/hr from the total time to get the time taken at 18 km/hr:
Time taken at 18 km/hr = Total time - Time taken at 15 km/hr = 9 hours - 2 hours = 7 hours
So, Sanjay traveled at the rate of 18 km/hr for approximately 7 hours.