Two kids at a summer camp, Tina and Winston, are competing in a potato sack race. Tina is younger, so she is given a head start
of 33 meters. When the race starts, Tina hops at a rate of 1 meter per second, and Winston hops 4 meters per second. Eventually, Winston will overtake Tina. How long will that take? How far will Winston have to hop? It will take ___ seconds for Winston to hop ___ meters and catch up to Tina.
It will take Winston 11 seconds to hop 44 meters and catch up to Tina
Step-by-step explanation:
Set up an equation where x represents the number of seconds:
Tina will be represented by s + 33 since she goes 1 m/sec and she has a 33 meter head start, and Winston will be 4s. We need to find when Winston will catch up, so we need an equal sign.
s + 33 = 4s
Solve for s:
s + 33 = 4s
33 = 3s
11 = s
= 11 seconds
Then, plug in 11 as s to find how many meters he will go:
