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Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same point on the track and run in opposite directions, how long will it take the runners to cover 14 mi?

Respuesta :

Answer:37.2 sec

Step-by-step explanation:

Given

Joel takes 81 sec for 14 mile long track

speed of joel [tex]\frac{14}{1.35}[/tex] mi/min=10.37 mi/min

Jason takes 69 sec for 14 mi track

so jason speed is [tex]\frac{14}{1.15} mi/min=12.17 mi/min[/tex]

if both starts from same spot in opposite direction then

[tex]\frac{x}{10.37}=\frac{14-x}{12.17}[/tex]

where x is distance covered by Joel

then x=6.44 miles

therefore time required

[tex]t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec[/tex]

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