A tour bus starts from Memphis and heads to Miami at 50 mph. Three hours later a truck pursues the bus at a speed of 65 mph. How long (in hours) does it take for the truck to catch the bus? (HINT: Lets t= hours the truck is on the road.)

Question

26-09-2014
Mathematics

Answered

A tour bus starts from Memphis and heads to Miami at 50 mph. Three hours later a truck pursues the bus at a speed of 65 mph. How long (in hours) does it take for the truck to catch the bus? (HINT: Lets t= hours the truck is on the road.)

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AL2006 AL2006 · Answer 1 · 2014-09-26T23:53:53-04:00

Three hours after the bus starts out, it's 150 miles ahead of the truck. Then the truck starts out, and it gains (65-50)=15 miles on the bus every hour. If neither of them ever stops for anything, the truck will catch up to the bus in ( 150/15 ) = 10 hours. . . . (The hint is useless.)