Question

Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If Johnny is running at a rate of 22 mph, will he be able to reach the safe zone before the gate is closed? Yes or No? Explain BRIEFLY.

Answer 1

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

$Distance = Speed \times Time$

Time = 3 minutes = $\frac{3}{60}$ hrs

Speed = 22 mph

$Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles$

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 $\times$ 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.