SOLUTION: A penguin and a seal are housed in the same cage. The cage was unlocked. At 3 PM, the penguin left the cage, heading North at 4 miles per hour. At 3:30 PM, the seal left the cage,

Algebra.Com
Question 883486: A penguin and a seal are housed in the same cage. The cage was unlocked. At 3 PM, the penguin left the cage, heading North at 4 miles per hour. At 3:30 PM, the seal left the cage, heading South at 3 miles per hour. At what time will the penguin and the seal be 37 miles apart?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A penguin and a seal are housed in the same cage. The cage was unlocked. At 3 PM, the penguin left the cage, heading North at 4 miles per hour. At 3:30 PM, the seal left the cage, heading South at 3 miles per hour. At what time will the penguin and the seal be 37 miles apart?
-------
Penquin DATA:
rate = 4 mph ; time = x hrs ; distance = 4x miles
-------
Seal DATA:
rate = 3 mph ; time = (x-(1/2))hr ; distance = 3(x-(1/2)) miles
-------
Equation:
dist + dist = 37 miles
4x + 3x - (3/2) = 37
7x = 38.5
x = 5.5 hours
----------------------
Note: Since "x" is the time for the penguin,
the answer is 3:00PM + 5.5 hrs = 8:30PM
--------------------------------------------
My answer choices are
F. 8 PM. G. 8:30 PM H. 9 pm. J. 12 AM. K. 3 am
Cheers,
Stan H.
-----------------

RELATED QUESTIONS

A cage contains birds and rabbits. There are 16 heads and 38 feet. How many birds are... (answered by swincher4391)
Candy builds a cage for some chickens out of wood and wire mesh, as shown below. The two... (answered by greenestamps)
A cage has 10 male and 5 female birds. If three birds are selected at random from the... (answered by stanbon)
A shop has some pigeons and some cages. If the shopkeeper tries to put 5 pigeons in each... (answered by josmiceli)
One cage contains 3 white mice and 2 black ones, and another cage contains 5 white mice... (answered by robertb)
the old lion cage at the zoo was a square, with sides x meters long. For part of the... (answered by josmiceli)
One cage contains 2 white mice and 3 black ones, and another cage contains 4 white mice... (answered by ewatrrr)
The ratio of doves to parrots in a cage is 3 to 8. If there are 33 doves and parrots in... (answered by josgarithmetic)
A cage is 7.5m long 5.2m wide 4.8m high.The cage does not have a base.Calculate the area... (answered by josgarithmetic)