If a 2015 Genesis V6 leaves Kansas City at 9:00 AM heading east on I70 at 65 MPH, and a 2015 Genesis V8 leaves St. Louis at 9:15 AM heading west on I70 at 70 MPH, at what exact time will they pass each other on the highway?
this question isn't really unique to the Genesis and could involve any other vehicle. I don't know if this question was meant to be facetious or contentious or neither. I wasn't particularly amused. but giving the benefit of the doubt and assuming no ill intentions, i'll play along and give a serious answer.
this question or problem involves a simple algebraic function of the distance traveled being equal to the rate of speed traveled multiplied by the time spent traveling or D = R*T.
using google maps the distance between Kansas City and St Louis via I-70 is approximately 248 miles. let's say exactly since an exact time is asked for.
we'll also assume that these 2 Geneses are using regular cruise instead of that fancy smart cruise so that instead of letting the computer adjust the speed around traffic, the drivers actually drive around the traffic without touching the brake to maintain the exact same speed until they pass each other.
at 9:15 AM, driver 1 of the V6 Genesis will have traveled 16.25 miles and be exactly 231.75 miles away from driver 2 of the V8 Genesis.
so: D1 = 65T and D2 = 70T
D = D1 + D2 = 65T + 70T = 135T
when distance = 231.75 miles the two Geneses will meet each other.
solve the equation for T.
135T = 231.75
1.71667 (rounded to the 100 thousandth of an hour) hours or 1 hour and 43 minutes and 12 thousandths of a second. if no rounding is done for T then it's actually EXACTLY 1 hours and 43 minutes OR
10:58 AM when they MEET.
but the question was not when they meet but when they pass each other which becomes a bit more complicated. and then the answer is dependent on the vehicle driven which corrects me and now it is relevant to the Genesis. because now we have to factor in the exact length of the 2015 Genesis to calculate the time it takes for the rear bumper of the V8 Genesis to align with the rear bumper of the V6 Genesis.
OKAY... the exact length of the 2015 Genesis according to the internets is 196.5 inches or .0031013257575758 (rounded to the 10 quadrillionth of a mile) miles. multiply that by 2 and you get .0062026515151516 miles for the new D.
so lets do the equation again.
135T = .0062026515151516
T = .0000459455667890 hours OR 165404 hundred thousandths of a second. why hundred thousandths of a second? because at 135 mph or 60.3504 meters per second, the cars are still traveling 2.4 inches (about 6 cm) away from each other every thousandth of a second. .024 inches (about .6 mm) is much less noticeable.
the final answer is at 10:58:00165404 AM.
if there are any problems with my math, please let me know. this actually turned out more amusing for me than I originally thought...