SOLUTION: Brandy dawson and Jason dodge start a motorcycle trip at the same point north of Fort Worth, Texas. Both traveling to San Antonio, Texas, a distance of about 400 kilometers. Brandy

Question 1042463: Brandy dawson and Jason dodge start a motorcycle trip at the same point north of Fort Worth, Texas. Both traveling to San Antonio, Texas, a distance of about 400 kilometers. Brandy rides 30 kilometers per hour faster than Jason does. When Brandy reaches her destination, Jason has only traveled to Austin, Texas, a distance of about 250 kilometers. Determine the approximate speed of each motorcycle.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs for both of them
Let = Jason's speed in km/hr
= Brandy's speed in km/hr
Jason's equation:
(1)
Brandy's equation:
(2)
---------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and

-------------------
Brandy's speed was 80 km/hr
Jason's speed was 50 km/hr
--------------------------
check:
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
(2) hrs
OK
RELATED QUESTIONS
brandy dawson and jason dodge start a motorcycle trip at the same point. both are... (answered by jorel555)

If Eratosthehne were alive in the U.S. today, he could repeat his calculation of the... (answered by stanbon)

A car and a motorcycle set off from the same point to travel the same journey. The car... (answered by mananth)

The sales tax rate in Fort Worth, Texas, is 8.25%. Find the tax charged on a purchase of... (answered by TimothyLamb)

A car is on a road traveling due north at 56.3 km/h and a motorcycle is traveling on... (answered by ikleyn)

two motorcycle start at the same point and travel opossite direction. one travel 3 mph... (answered by checkley79)

A person riding a motorcycle leaves 1 hr after a person riding a bicycle. Both travel... (answered by ankor@dixie-net.com)

A person riding a motorcycle leaves an hour after a person riding a bicycle. Both travel... (answered by josgarithmetic,ikleyn,MathTherapy)

A motorcycle traveling at 70 mph overtakes a car traveling at 40 mph that had a 3 hour... (answered by TimothyLamb)