Question 1157574
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The time spent on land is the same for both legs or the trip.  The 1 hour difference between the times for the two legs is the difference in the time going upstream against the current and the time returning downstream with the current.<br>
The upstream speed is 20-4=16mph; the downstream speed is 20+4-24mph.  Determine the distance on the river if the upstream trip takes 1 hour more than the downstream trip.<br>
{{{x/16-x/24 = 1}}}
{{{3x-2x=48}}}
{{{x = 48}}}<br>
The distance on the river is 48 miles.<br>
Determine the amounts of time for the upstream and downstream trips.<br>
Upstream: 48/16 = 3 hours
Downstream: 48/24 = 2 hours<br>
Determine the distance on land, now knowing that the trip on land took 1.5 hours at 60mph: 1.5(60) = 90<br>
The total distance is 48+90 = 138 miles.<br>