Write a system of equations to describe the situation below, solve using any method,

Question

algerbra 1

A couple of friends decide to race each other. Linda can run 4 yards per second, whereas Alec can run 5 yards per second. Because she is slower, Linda also gets a head start of 28 yards. Shortly after they start running, Alec will catch up to Linda. How long will that take? How far will Alec have to run? It will take seconds for Alec to run yards and catch up to Linda.

Answer 1

4t+28 =5t

5t-4t= 28

t = 28 seconds to catch up

in 28 seconds Linda runs 4x28 = 112 yards

in 28 seconds Alec runs 5x28 = 140 yards = to catch up to Linda

140 -28 head start = 112 yards for Linda