Question

A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he gets tired and decides to get a taxi. The taxi gets him to the top traveling at a constant speed of 50 mph. If the tourist reaches the destination 2 hours after he started, what distance does he have to pay the cab driver for?

Answer 1

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 $Time=\frac{Distance}{Speed}$

Therefore, time taken is: $Time=\frac{x}{4}$

He get a taxi for (31-x) miles at the rate of 50 miles per hour.

Therefore, time taken is: $Time=\frac{31-x}{50}$

It took 2 hours after he started.

That means the sum of time take is 2 hours.

$\frac{x}{4}+\frac{31-x}{50}=2$

$\frac{25x+62-2x}{100}= 2$

$23x+62= 200$

$23x= 138$

$x= 6$

Hence he walk 6 miles and he get a taxi for 31-6=25 miles.

He pays to the cab driver for 25 miles.