MATH SOLVE

3 months ago

Q:
# Neil drives at an average speed of 60 miles/hour to reach his destination 480 miles away. On the way back, he decides to increase his speed to try to save at least one hour. If the increase in his speed is x miles/hour, create an inequality to find the minimum increase in his speed. 7 + x 480 ≥ ≤ = x + 60 7 x + 480

Accepted Solution

A:

Answer:480 / ( 60 + x ) ≤ 7Step-by-step explanation:The average speed of Neil is:d = v*t ⇒ t = d/v ⇒ t = 480 / 60 h ⇒ 8 hThat means Neil took 8 h in her tripIf we call x the increase in her speed back homeShe needs at least go according to:480 / ( 60 + x ) ≤ 7And this is the inequality to find the minimun increase in the speed, to show that we can solve the inequation, at the limit (that means when she saves just 1 hour)480/ ( 60 + x ) = 7480 = 7 ( 60 + x )480 = 420 + 7 x7x = 60x = 60/7 ⇒ x = 8.57 miles/hour ( minimun increase )Then the minimun speed would be 60 + 8,57 = 68.57 miles /hChecking480 / 68.57 = 7.0001 h