SOLUTION: Two objects are traveling in opposite directions. One is traveling three miles per hour faster than the other. In two hours, they are four hundred and two miles apart. How fast is
Algebra.Com
Question 885103: Two objects are traveling in opposite directions. One is traveling three miles per hour faster than the other. In two hours, they are four hundred and two miles apart. How fast is each object traveling?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
In one hour, the objects are 201 miles apart (402/2)
A + B = 201
A = B+3
Substitute the known value of A from the second equation into the first.
A + B = 201
(B+3) + B = 201
2B + 3 = 201
Subtract 3 from each side
2B = 198
Divide each side by 2
B = 99
.
The slower object is traveling 99 mph; the faster, 102 mph
Add them together and they are traveling 201 mph
201 mph * 2 hours = 402 miles
RELATED QUESTIONS
Two cars start from the same place traveling in opposite directions one car travels 5... (answered by josmiceli)
two motorcyclists start at the same point but travel in opposite directions. one travels... (answered by josmiceli)
Two cars, one traveling 8 miles per hour faster than the other, start at the same time... (answered by JulietG)
Two cars leave from the same place at the same time, traveling in opposite directions.... (answered by checkley77)
Two cars start from the same place traveling in opposite directions. One car travels 4... (answered by Fombitz)
Two Airplanes leave Chicago's Midway airport at the same time, traveling in opposite... (answered by josgarithmetic)
Two cars start from the same place traveling in opposite directions. One car travels 4... (answered by lwsshak3,josmiceli)
Two cyclists start at the same point, and travel in opposite directions. The first... (answered by checkley79)
Two bicycle riders start at the same point and travel in opposite directions. One travels (answered by stanbon)