SOLUTION: i need ur help on travel and distance problems plzzzzzz...... a motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.the rate speed on the highw

Question 845917: i need ur help on travel and distance problems plzzzzzz......
a motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.the rate speed on the highway was 3 times the rate on the mountain roads.the time spent travelling the 200 miles was 5 hours .find the rate of the motorist in the highway?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs spent on mountain roads
= time in hrs spent on highway
Let = motorist's speed in mi/hr on mountain roads
= motorist's speed in mi/hr on highway
---------------------------------------------------
For mountain roads:
(1)
For highway:
(2)
----------------------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and

The motorist's rate on the highway was 60 mi/hr
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
OK
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