Answer: [tex]t=\frac{17}{v}+\frac{12}{v-2}[/tex]
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since [tex]Speed=\frac{distance}{time}[/tex]
therefore, [tex]Time=\frac{distance}{speed}[/tex]
Let [tex]t_1[/tex] be the time he walked with speed v.
then [tex]t_1=\frac{17}{v}[/tex]
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let [tex]t_2[/tex] be the time he hiked 12 km,
Then [tex]t_2=\frac{12}{v-2}[/tex]
The total time for the whole trip is given by:-
[tex]t=t_1+t_2=[/tex]
Substitute the values of [tex]t_1[/tex] and [tex]t_2[/tex] in the equation, we get
[tex]t=\frac{17}{v}+\frac{12}{v-2}[/tex]
