Question

A cheetah was chasing an antelope which is 700m away. How many minutes will it take the cheetah, which is running at a constant, speed of 110km/hr to reach the antelope that is running at a constant speed of 75km/hr?

Answer 1

Hint: The given question is of statement solving in which a condition is given and it need to be analyzed and solved by forming a mathematical statement, once the equation is created then it need to be solved by using the proper mathematical operation which need to be used according to the question.
Formulae Used: \[speed = \dfrac{{dis\tan ce}}{{time}}\]

Complete step-by-step answer:
The given question is a mathematical equation and need to be solved by forming mathematical equations, on solving we get:
Speed of cheetah= \[100\dfrac{{km}}{{hr}}\]
Speed of antelope= \[75\dfrac{{km}}{{hr}}\]
Distance between both the animals= \[700m\]
To solve this we need to know the relative velocity mechanism which defines that when two bodies are in motion and we need to calculate the relative motion between then the relative velocity between them can be calculated as the difference between these two velocities, on solving for the given statement we get:
Relative velocity= \[100 - 75\dfrac{{km}}{{hr}} = 25\dfrac{{km}}{{hr}}\]
Now using the formulae= \[speed = \dfrac{{dis\tan ce}}{{time}}\]
We get:
Time taken by cheetah:
 \[
   \Rightarrow 25\dfrac{{km}}{{hr}} = \dfrac{{0.7km}}{{time}} \\
   \Rightarrow time = \dfrac{{0.7}}{{25}}hr = 0.028hr \;
 \]
Converting time from hour into minutes we get:
 \[
   \Rightarrow 1hr = 60\min utes \\
   \Rightarrow 0.028hr = 0.028 \times 60 = 1.68\min utes \;
 \]
This time is our required answer and here we know the time taken by the cheetah.
So, the correct answer is “1.68 minutes”.

Note: The given question needs to be solved by the given method as the statement question needs to be derived in the mathematical form and then solved accordingly, here we first derive the mathematical expression and then solve according to the requirement of the question.