In Ms. Chang’s class,Emile found out that his walking rate is 2.5 meters perseco

Question

In Ms. Chang’s class,Emile found out that his walking rate is 2.5 meters persecond. When he gets home from school, he times his littlebrother Henri and Henri walks 100 meters. He figures out thatHenri’s waling rate is 1 meter persecond.

Henri challenges Emile to awalking race. Because Emile’s walking rate is faster,Emile gives Henri a 45-meter head start. Emile knows hisbrother would enjoy winning the race, but does not want to make therace short that it is obvious his brother willwin.

Explain your strategy!

Explanation / Answer

set up a rate equation where you set the distances equal to eachother, leaving the time as the variable. Therefore, sayemiles distance should be 2.5 m/s times time (t + .5 or so)seconds. set this overall distance equal to henris which willbe 45 meters + ( 1m/s times t seconds). Therefore, the answerfound will give you the number of seconds of the race that will endwith Henri winning by a mere half a second! So the raceshould then be set to this time found (t) + 45 meters, or just over74 meters.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.