Answer:
He pays to the cab driver for 25 miles.
Step-by-step explanation:
Consider the provided information.
Let us consider he walks x miles at the rate of 4 miles per hour.
As we know [tex]Time=\frac{Distance}{Speed}[/tex]
Therefore, time taken is: [tex]Time=\frac{x}{4}[/tex]
He get a taxi for (31-x) miles at the rate of 50 miles per hour.
Therefore, time taken is: [tex]Time=\frac{31-x}{50}[/tex]
It took 2 hours after he started.
That means the sum of time take is 2 hours.
[tex]\frac{x}{4}+\frac{31-x}{50}=2[/tex]
[tex]\frac{25x+62-2x}{100}= 2[/tex]
[tex]23x+62= 200[/tex]
[tex]23x= 138[/tex]
[tex]x= 6[/tex]
Hence he walk 6 miles and he get a taxi for 31-6=25 miles.
He pays to the cab driver for 25 miles.
