A train travels along a track and its speed in miles per hou

A train travels along a track and its speed (in miles per hour) is given by s(t) = 26t for the first half hour of travel. Its speed is constant and equal to s(t) = 26/2 after the first half hour. Here time t is measured in hours. How far (in miles) does the train travel in the first hour of travel? The train travels miles.

Solution

Distance = speed * time

s= 26t for the first half hr

Distance1 = 26*1/2 = 13

s = 26/2 or constant 13 for the next half hr

Distance = 13*1/2 = 6.5

So, total distance is :

13 + 6.5

19.5 miles ------> ANSWER