Problema Solution

An American Airlines trip from Boston to Los Angeles takes 8 ½ hours. Assuming we are ¼ of the way, how long has the trip taken so far?

Answer provided by our tutors

lets assume that the plane is flying with constant speed v


v = the distance / the time


let d = distance and t = 8 1/2 = 17/2 hours the length of the flight


v = d / (17/2) = 2d/17 miles/hours


if we have passed 1/4 of the way that is d/4 and t2 is the time passed we have


v = (d/4) / t2 = d / (4*t2) miles/hour


now we can write


2d/17 = d/(4*t2) divide both sides by d


2/17 = 1/(4 *t2)


t2 = 17/8 hours = 2.125 hours


one forth of the trip takes 2.125 hours.