Question 1155290
<br>
time = distance / rate<br>
x = lower speed
x+10 = higher speed<br>
time to go 50 miles at lower speed: 50/x
time to go 140 miles at higher speed: 140/(x+10)<br>
The time at the higher speed is twice the time at the lower speed:<br>
{{{140/(x+10) = 2*(50/x)}}}<br>
{{{140/(x+10) = 100/x}}}<br>
{{{100x+1000 = 140x}}}<br>
{{{1000 = 40x}}}<br>
{{{x = 25}}}<br>
The two speeds are 25mph and 35mph.<br>
CHECK:
50 miles at 25mph = 2 hours
140 miles at 35mph = 4 hours<br>