Algebra Homework Help. I need to know how to put this word problem into an equation.?

Question

Agents Mulder and Scully are driving to Georgia to investigate "Big Blue," a giant aquatic reptile reported to inhabit one of the local lakes. Mulder leaves Washington at 8:30 A.M. and averages 65 mph. His partner, Scully, leaves at 9:00 A.M., following the same path and averaging 68 mph. At what time will Scully catch up with Mulder?

Answer 1

Start counting time at 9am. Mulder is 32.5 miles down the road, Scully is at 0. For every hour, you are going to add their MPH so Mulders distance will be 32.5+65H, and Scully will be 0+68H, where H stands for hours beyond 9 am. To find when they catch up (or are equal distance from start), your equation would be 32.5+65H=68H and you solve for H. Once you find H, add those hours to 9am to find out the time.

Answer 2

9-8.30=30 min =1/2 hr

(65 mph x 1/2 hr) + 65 mph x (X hrs) = 68 mph x (X hrs)

Find X, then add it to 9 am, that will be the time when Scully catch up with Mulder.

Answer 3

In 1:30 Mulder travels 65+65/2 miles or 97.5 miles, so
Mulder=65(x)+97.5
Scully=68(x)
the E=65(x)+97.5=68(x), the rest should be easy.

Answer 4

headstart = 30 mins @ 65 mph = 32.5 miles
difference in speed 3 mph
time to intersect= 32.5miles/ 3 mph = hours to intersect

hours to interesect + 9 am = answer

now there's the solution - does it have to be in ONE equation?

will have to rethink this one if it does

Answer 5

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Answer 6

65 miles per hour * 1/2 hour + 65 miles per hour * x hours = 68 miles per hour * x hours

to get x alone you end up doing 32.5 miles = 68x - 65x

which equals 32.5 miles = 3x hours

x = 32.5/3 equals 10.83 hours....so scully catches up at about 7:50 PM

Answer 7

y=(65MPH)(X) Mulder's position
y=(68MPH)(X-.5) Scully's position

Set both equations equal to each other, then solve for X

Answer 8

Haha, i did this one before, same one, well...hard for me..but u haf to put the time into a fraction, and then multiply..ya know? rateX time = Distance...that kinda thing, Good Luck

Answer 9

wow another mega college student