Given that train travels eight hundred fifty miles in six hours.
Then speed of the train is given by formula

miles per hour
Now we have to find time when train travels five thousand one hundred miles.
so plug the value of speed and distance in above formula



850(time)=5100*6
850(time)=30600
time = \frac{30600}{850}
time = 36
Hence final answer is 36 hours.