# A Lesson in Punctuality

**Algebra**Level 2

Brian Philips is on the run. He gets news from his friend that his enemy Mr. X. who has kidnapped his girlfriend Ema Philips and has called him for an open encounter at his palace some kilometers away.

Brian calculates that if he rides his bike at the speed of \( 15 km/hr \) he shall reach there an hour too soon, and if he rode at the speed of \( 10 km/hr \) he will reach an hour too late. Now to execute his plan, he must be able to reach there at 5:00 PM, when he would be able to subdue Mr. X easily when he would be relaxing taking his afternoon tea. He therefore starts off from noon.

How far is Brian away from Mr. X's palace in meters?

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