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Sergeu [11.5K]
3 years ago
14

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.
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

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:

s + 33

11 + 33 = 44

= 44 meters

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Answer:

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Step-by-step explanation:

Let Gabe = x

Therefore, Abe worked: x-3 and Babe worked x+4

So,

x+(x-3)+(x+4)=196

3*x+1=196

3*x=195

x=65

Then,

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See the blue dot in the attached image.



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