It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?
Accepted Solution
A:
Answer:120 milesStep-by-step explanation:we know thatThe speed is equal to the distance divided by the timeLets------> the speed in mphd-----> the distance in milest -----> the time in hourss=d/tsolve for the distanced=s*tIt will take Adam four hours to drive to Disney Parks=x mpht=4 hsubstituted=4x -----> equation AIt will take Adam 2.5 times less time if driving 45 mph fastersos=(x+45) mpht=4/2.5=1.6 hsubstituted=1.6(x+45) -----> equation Bequate equation A and equation B4x=1.6(x+45)Solve for x4x=1.6x+724x-1.6x=722.4x=72x=30 mphFind the distance dd=4x -----> d=4(30)=120 miles