SOLUTION: Manuel traveled
3
hours nonstop to Mexico, a total of
167
miles. He took a train part of the way, which averaged
60mph,
and then took a bus the remaining distance, whic
Algebra.Com
Question 1067639: Manuel traveled
3
hours nonstop to Mexico, a total of
167
miles. He took a train part of the way, which averaged
60mph,
and then took a bus the remaining distance, which averaged
50mph.
How long was Manuel on the train?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs spent on the train
= time in hrs spent on the bus
Let = distance in miles traveled by train
= distance in miles traveled by bus
---------------------------------------------
For the trip by train:
(1)
For the trip by bus:
(2)
-----------------------------
Substitute (1) into (2)
(2)
(2)
(2)
and
-----------------------
He was on the train for 1.7 hrs
Also note: min
He was on the train for 1 hr 42 min
--------------------------------
check:
(1)
(1)
(1) miles
and
(2)
(2)
(2)
(2)
and
miles total
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