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ololo11 [35]
3 years ago
9

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?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

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.

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