To solve this problem, we can use the formula:
distance = rate x time
Let's start with the distance that Jude walks:
distance = rate x time
distance = 100 yd./min. x 12 min.
distance = 1200 yd.
Now we can find the remaining distance that Jude covers on his bike:
remaining distance = total distance - distance walked
remaining distance = 6000 yd. - 1200 yd.
remaining distance = 4800 yd.
We can now find the time it takes for Jude to bike the remaining distance:
time = distance / rate
time = 4800 yd. / 300 yd./min.
time = 16 min.
Finally, we can find the total time it takes for Jude to go from his house to the library:
total time = time walked + time biked
total time = 12 min. + 16 min.
total time = 28 min.
Therefore, it takes Jude 28 minutes to go from his house to the library.