## A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions – the deer at a speed of 7 feet per second and

Question

A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions – the deer at a speed of 7 feet per second and the bear at a speed of 3 feet per second. How long will it be until the animals are 185 yards apart? Help please!

in progress 0
1 week 2021-09-14T21:10:17+00:00 1 Answer 0

55.5 second

Step-by-step explanation:

It is a problem of relative speed.

Relative speed is speed of object with respect to each other.

In relative speed

–>If two objects are moving in opposite direction with speed A and B then

there relative speed with respect to each other will be (A+B)

–>If two objects are moving in same direction with speed A and B then

there relative speed with respect to each other will be (A-B) (given speed A is quantitatively greater than speed B).

__________________________________________________________

Given

Speed of deer = 7 feet per second

Speed of beer = 3 feet per second

direction of the animals with respect to each other is  opposite.

Therefore their relative  speed will be ( 7 + 3 ) = 10 feet per second

This can be understood intuitively as well

if deer and beer are covering 7 feet and 3 feet in one second in opposite direction then the distance will increase between them.

distance increased between them in one second will be sum of  7 feet and 3 feet  which is equal to 10 feet.

Thus, distance covered per second is nothing but speed. Here, this speed is relative to each other thus 10 feet per second is the relative of each animal

_______________________________________________

Now in problem of speed , distance and time

Time = distance / speed

Distance = 185 yards

one yard is equal to 3 feet

so  185 yards is equal to 3*185 feet

185 yards in feet is 555 feet

Distance in feet  = 555 feet

Therefore

Time = 555/10 = 55.5 second

_________________________________________

It will take 55.5 second until animals are 185 yards apart