Question

Vivian and Noene both leave
the park at
the same time,
but
in opposite direction. If
Noelle
travels simple faster
than
Vivian
and after 8 hours,
they 136 miles apart, how
in mile
per
hour is each
travelling?
are
fast in

Answer 1

Given:

Vivian and Noelle both leave the park at the same time but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart

To find:

How fast per mile per hour is each travelling?

Solution:

The total distance travelled in 8 hrs = 136 miles

The time taken to travel = 8 hrs

Since Noelle travels 5 mph faster than Vivian

So let,

"x" → represents Vivian's speed

"(x + 5)" → represents Noelle's speed

We know,

$\boxed{\bold{Speed \times Time = Distance}}$

Therefore,

The distance travelled by Vivian in 8 hrs = 8x miles

The distance travelled by Noelle in 8 hrs = 8(x + 5) miles

As per the question, we can form an equation as,

$8x + 8(x + 5) = 136$

$\implies 8x + 8x + 40 = 136$

$\implies 16x = 96$

$\implies x = \frac{96}{16}$

$\implies x = 6\:miles/hr$

∴ $x + 5 = 6 + 5 = 11 \:miles/hr$

Thus,

$\boxed{\bold{Vivian's \:speed\:\rightarrow \underline{6\:miles/hr}}}\\\\\boxed{\bold{Noelle's \:speed\:\rightarrow \underline{11\:miles/hr}}}$

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