# Algebra

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How long does it take a care traveling 100 mph to catch up to a car traveling 80 mph

• Algebra -

Depends how far back the faster car was.
Not enough data.

• Algebra -

Leaves 2 minutes after the car at 80 mph passes it

• Algebra -

The car traveling 100 mph states from a complete stop

• Algebra -

Key point:
When the faster catches the slower , they both went the same distance
let that distance be x miles
time for faster car = x/100
time for slower car = x/80
x/80 - x/100 = 2/60
x/400 = 1/30
30x = 400
x = 40/3 miles

so time for faster car to go the 40/3 miles to catch the slower car
= (40/3) / 100 = .13333.. hr
= 8 minutes

check:
time for slower car
= (40/3) / 80 = .166666 hrs
= 10 minutes, for a difference of 2 minutes

• Algebra -

Thanks!

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