PR 4 # 20

Wacky · 2006-06-20, 14:51

An astute mathematician drives 21 miles round trip to work each day. On the way he passes a gas station which advertises free gas if the price at which the pump stops when filling the tank consists of repetative digits, i.e. $1.11, $2.22, $3.33 ... $9.99. Gas costs 30 cents per gallon and our mathematician knows that his car delivers exactly 15 miles per gallon. Considering no additional driving, he computes that once he fills his gas tank at the station he can get all his gas free. The station is an integral number of miles from his home. Where is it with respect to his home?

retina · 2006-06-20, 15:57

9 miles from home

2006-06-20, 14:51	#1
Wacky Jun 2003 The Texas Hill Country 3²×11² Posts	PR 4 # 20 An astute mathematician drives 21 miles round trip to work each day. On the way he passes a gas station which advertises free gas if the price at which the pump stops when filling the tank consists of repetative digits, i.e. $1.11, $2.22, $3.33 ... $9.99. Gas costs 30 cents per gallon and our mathematician knows that his car delivers exactly 15 miles per gallon. Considering no additional driving, he computes that once he fills his gas tank at the station he can get all his gas free. The station is an integral number of miles from his home. Where is it with respect to his home?

2006-06-20, 15:57	#2
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2×11×283 Posts	9 miles from home