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Likurg_2 [28]
3 years ago
15

A tourist first walked 17km with a speed of v km/h. Then he hiked 12 km uphill with the speed that was 2 km/hour less than his o

riginal speed. The whole trip took him t hours. What is a formula for t in terms of v?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer: t=\frac{17}{v}+\frac{12}{v-2}


Step-by-step explanation:

Given: A tourist first walked 17km with a speed of v km/h.

Since Speed=\frac{distance}{time}

therefore, Time=\frac{distance}{speed}

Let t_1 be the time he walked with speed v.

then t_1=\frac{17}{v}

Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.

Let t_2 be the time he hiked 12 km,

Then t_2=\frac{12}{v-2}

The total time for the whole trip is given by:-

t=t_1+t_2=

Substitute the values of t_1 and t_2 in the equation, we get

t=\frac{17}{v}+\frac{12}{v-2}

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