## Related questions with answers

Question

During a race, Bernie ran 9 meters every 4 seconds, while Barnaby ran 2 meters every second and got a 10 -meter head start. If the race was 70 meters long, did Bernie ever catch up with Barnaby? If so, when? Justify your answer.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2We let $x$ be the time in seconds and $y_{Be}$ be Bernie's distance in meters and $y_{Ba}$ be Barnaby's distance in meters. Now, we express the problems in a system of equations

$\begin{aligned} y_{Be}=\frac{9}{4}x\\ y_{Ba}=2x+9 \end{aligned}$

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