Boy Scout Troop 2 went backpacking in the Sierras. The scouts hiked 5 1/2 hours each day for 4 days. If their average speed was 1 3/4 mph, how far did the yhike altogether?

Respuesta :

Given :

Time they traveled in a day , [tex]t=5\dfrac{1}{2}=\dfrac{11}{2}\ hours[/tex] .

Average speed , [tex]s=1\dfrac{3}{4}=\dfrac{7}{4}\ mph[/tex] .

To Find :

How far did they hike altogether in 4 days .

Solution :

We know , distance covered is given by :

[tex]d=s\times t \\\\d=\dfrac{7}{4} \times \dfrac{11}{2}\ miles\\\\d=\dfrac{77}{8}\ miles[/tex]

So , distance covered in 4 days is :

[tex]D=\dfrac{77}{8}\times 4\ miles\\\\D=38.5\ miles[/tex]

Therefore , distance they hike in 4 days is 38.5 miles .

Hence , this is the required solution .