The trip was only 200 miles, so Bob and Rita rode at 25 mph for a while. Then they doubled their speed for the last part of the trip, so that the total time for the journey would be 5 hours. How far did they drive before they increased their speed?
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velocity = distance/time.so time = distance/velocity.Now let us assume that for some distance x they rode at 25mph.So the time taken to travel the distance x is x/25.
Now for the later part i.e (200-x) they rode at 50 mph.So the total time taken to travel the last part i.e 200-x is (200-x)/50
Nw the total time taken is (x/25) + ((200-x)/50) = 5
solve for x in this equation.That gives you the distance travelled before they increased their speed