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 k m / h r 15 km/hr he shall reach there an hour too soon, and if he rode at the speed of 10 k m / h r 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?


The answer is 60000.

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1 solution

Arpit MIshra
Apr 17, 2015

It is 60,000 metres that is 60 km away, because if he rides at 15km/hr he'll reach in 4 hours, if he rides at 10 km/hr he'll reach in 6 hours. But if he reaches in 5 hours that means he rode at 12 km/hr from which we find that the distance is equal to 60 km.

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