Please solve

Question

A jet took one hour longer flying to Lincoln from Adams at 800km/h than to return at 1200 km/h. Find    the distance from Lincoln to Adams

Answer 1

distance=rate*time

d=rt

d=(800)(t+1)

d=(1200)(t)

the right sides are both equal to d so set them equal to each other

800(t+1)=1200(t)

800t+800=1200t

800=1200t-800t

800=400t

t=800/400

t=2 hours

d=1200*2

d=2400 km

Answer 2

Karen: Let the distance from Lincoln to Adams be d km. At the speed of 800 km/h, the jet took d /800 hours. This was one hour longer to return at the speed of 1200 km/h. So to return at the speed of 1200 km/h, the jet took (d/800 - 1) hrs. But in the above time of (d/800 - 1) hrs, it traveled the same distance, d, at the speed of 1200 km. So, d = (d/800 -1)(1200). d = (1200/800)d - 1200 1200 = (1.5 - 1) d 1200 = 0.5 d d = 2400 km The distance between Lincoln and Adams is 2400 km. Dr. G.