If the southern trek took 48 hours and the norther trek took 53 hours, the northern trek was 285 miles longer than the southern trek , how long was each trek.
If we assume the distance of the southern route was d , then the northern route will be d+285.
Speed is given by distance/ time
Hence, speed through the southern route will be d/48 and through the northern route will be (d+285)/53.
But in both routes the speed was the same.
Therefore, d/48= (d+285)/53. Solving for d
53 d= 48 (d +285)
53d = 48d +13680
5d=13680
d= 2736 and (d+285= 3021)
There, the southern route is 2736 miles long and the northern route is 3021 miles long
