The scale of a particle map is $1:100,000$. On the map, the school is shown to be $2.5cm$ away from Jatinder's house. How far is his house from the school? Express this answer in $km$.

Q. Rajesh’s school is 18 km away from his home. If his grandmother’s house is at the halfway point between his house and school, his school is _____ km away from his grandmother’s house.

Q. Richard’s house is 7 km 300 m away from school and Alex’s house is 11 km 432 m away from school. Whose house is far and by how much?

Q. Rohit cycles down from his house to his school at a speed of 18 km/h and reaches there in 30 minutes. How far is the school from his house?

Q. Starting from his house one day, a student walks at a speed of $2\frac{1}{2}$ km/hour and reaches his school $6$ minutes late. Next day he increased his speed by $1$ km/hr and reaches the school $6$ minutes early. How far is the school from his house?