Business trip of 325.5 miles. Averaged 49 mph for the first part of the trip and 58 mph for the second part. If the trip took 6
hrs, how long was traveled?
1 answer:
<span>Let t
= travel time at 58</span>
<span>and
(6-t) = travel time at 49
distance at 58 + distance at 49 = 325.5 mi</span>
<span>
58t + 49(6-t) = 325.5
58t + 294 - 49t = 325.5</span>
9t+294
= 325.5
9t
=31.5
T =
31.5/9 = 3.5 hours at 58 mph
6-3.5
= 2.5 hours at 49 mph
<span> Check:</span>
58*3.5
= 203
49*2.5=
122.5
203+122.5
= 325.5
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