Question

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.

Answer 1

It will take Winston 11 seconds to hop 44 meters and catch up to Tina

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:

s + 33

11 + 33 = 44

= 44 meters