Problema Solution
At the exact moment Alejandro began to cross the 1432 - ft Zakim Bridge from one end, cycling 28 ft/s, Bindi began to cross, running 12 ft/s from the opposite end. How much farther than Bindi had Alejandro travelled when they met?
Answer provided by our tutors
let
t = the time of the travel until the met
v1 = 28 ft/s the speed of Alejandro
v2 = 12 ft/s the speed of Bindi
d = 1432 ft the total distance
since distance = speed*time
the distance of Alejandro + the distance of Bindi = the length of the bridge
v1t + v2t = d
28t + 12t = 1432
by solving we find:
t = 35.8 s
click here to see the step by step solution of the equation:
we need to find the difference in the distances of Alejandro and Bindi:
v1t - v2t = t(v1 - v2) = 35.8(28 - 12) = 572.8 ft
Alejandro traveled 572.8 ft more than Bindi.