SOLUTION: Plane A is traveling 312 miles per hour and is 450 miles ahead of plane B. Plane B is traveling at 385 miles per hour. How long will it take plane B to catch up to plane A?

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Question 957485: Plane A is traveling 312 miles per hour and is 450 miles ahead of plane B. Plane B is traveling at 385 miles per hour. How long will it take plane B to catch up to plane A?
Found 2 solutions by stanbon, addingup:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Plane A is traveling 312 miles per hour and is 450 miles ahead of plane B. Plane B is traveling at 385 miles per hour. How long will it take plane B to catch up to plane A?
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Plane B DATA:
rate = 385 mph ; distance = x+450 miles ; time = d/r = (x+450)/385
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Plane A DATA:
rate = 312 mph ; distance = x miles ; time = d/r = x/312 hrs
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Equation::
time = time
(x+450)/385 = x/312
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312x +312*450 = 385x
73x = 312*450
x = 1923.29
Ans: B time = (1923.29+450)/385 = 6.16 hrs = 6hr 9 min 36 seconds
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Cheers,
Stan H.
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Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
Plane A in t time will go 312t (rate x time), plus 450
Then we have plane B, in t time it will go 385t. And we want to see them catch up, so we set our equation like this:
Subtract 312t from both sides:
Now divide both sides by 73
t= 6.164 hours is how long it will take plane B to catch up with plane A.
Check:

Correct.