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lem 5 - Writing and Solving Equations Henry and Jeremy ran a race. Jeremy took 42 seconds to run the race, which is 7 seconds faster than Henry. Which equation below can be used to determine how many seconds, s, Henry took?

Ask by Barker Salinas. in the United States
Feb 19,2025

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Tutor-Verified Answer

Answer

La ecuación para determinar cuántos segundos tomó Henry es \( s + 7 = 42 \).

Solution

Para resolver el problema, primero extraigamos las condiciones conocidas: 1. Jeremy tomó 42 segundos para correr la carrera. 2. Jeremy fue 7 segundos más rápido que Henry. Ahora, podemos establecer una relación entre el tiempo que tomó Henry (s) y el tiempo que tomó Jeremy. Dado que Jeremy es 7 segundos más rápido que Henry, podemos escribir la siguiente ecuación: \[ s + 7 = 42 \] Esta ecuación se puede usar para determinar cuántos segundos, \( s \), tomó Henry. Ahora, si queremos despejar \( s \), podemos restar 7 de ambos lados de la ecuación: \[ s = 42 - 7 \] Por lo tanto, la ecuación que se puede usar para determinar cuántos segundos tomó Henry es: \[ s + 7 = 42 \]

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The Deep Dive

To find out how many seconds Henry took, we can set up the equation based on the information given. Since Jeremy took 42 seconds, which is 7 seconds faster than Henry, we can express Henry's time as \( s = 42 + 7 \). So, the equation that helps us determine Henry's time in seconds would be \( s = 42 - 7 \), simplifying it gives us \( s = 35 \). Races aren't just about speed; they're full of fascinating history! Did you know that organized races date back to ancient Greece? The very first Olympic games in 776 BC featured foot races! Runners competed on a straight track called a "dromos," demonstrating endurance and speed that still inspires athletes today. To solve equations like this one, beware of the common mistake of reversing the operation when moving numbers across the equation. If you know that Jeremy was 7 seconds faster than Henry, don't mistakenly add those 7 seconds to the wrong side of the equation! Always check your logic—using number lines or visual aids can help clarify your thinking when deciphering time and speed.

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