SOLUTION: Paul rides 3 hours total on a bicycle trip into the country and back. He rode out at the rate of 16 mph and returned at the rate of 21 mph. How far into the country did Paul rid

Question 373282: Paul rides 3 hours total on a bicycle trip into the country and back. He rode out at the rate of 16 mph and returned at the rate of 21 mph. How far into the country did Paul ride (round to the nearest hundredth)?

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
D=RT
D=16T
D=21(3-T)
16T=21(3-T)
16T=63-21T
16T+21T=63
37T=63
T=63/37
T=1.703 HOURS FOR THE 16 HOUR TRIP.
3-1.703=1.297 HOURS FOR THE 21 HOUR TRIP.
PROOF:
16*1.703=21*1.297
27.2=27.2 MILES ANSWER.

RELATED QUESTIONS
Chad rides 2 hours total on a bicycle trip into the country and back. He rode out at the... (answered by stanbon)

Chuck rides 3 hours total on a bicycle trip into the country and back. He rode out at the (answered by mananth)

Hal rides 6 hours total on a bicycle trip into the country and back. He rode out at the... (answered by jorel1380)

Steve rides 5 hours total on a bicycle trip into the country and back. He rode out at the (answered by Alan3354,ewatrrr)

Rita rode her bicycle out into the country at a speed of 20 mph and returned along the... (answered by checkley71)

Me.sheen rode a distance of 12miles out into the country on a bicycle and returned on... (answered by stanbon,josmiceli)

How far can a man walk into the country at the rate of 4mph if he rides back at the rate... (answered by Paul)

Mr. Stewart rode a distance of 12 miles into the country on a bicycle and returned on... (answered by mananth,KMST)

A man rides out into the country at a uniform rate of 30 mph. He rests for 2 hours and... (answered by scott8148)