A herd of elephants on the savannah is moving in a straight line at 4 kilometers per hour, headed
directly toward a biologist who has been tracking them. Meanwhile, the biologist is also driving toward
them at 69 kilometers per hour. If they started out 14 kilometers apart, how long will it be before they
encounter one another?

Respuesta :

Answer:

  about 11 minutes, 30 seconds

Step-by-step explanation:

The rate of closure is the sum of the speeds:

  4 kph +69 kph = 73 kph

Time, speed, and distance are related by ...

  time = distance/speed

  time = (14 km)/(73 km/h) = (14/73) h

In terms of hours, this is about 0.1918 hours.

In terms of minutes, this is about 11.507 minutes, or 11 minutes, 30 seconds.

The biologist and elephants will encounter each other after about 11 minutes 30 seconds.

_____

There are 60 minutes in 1 hour.