A Lion starts chasing a Deer. It takes 4 hours to catch the Deer. If t...
Let us assume that
Deer Speed = x kmph
Then, 4 = 4*x/(40-x)
x = 20 kmph
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A Lion starts chasing a Deer. It takes 4 hours to catch the Deer. If t...
Understanding the Scenario
In this chase scenario, we have a Lion and a Deer, with the Lion chasing the Deer for a duration of 4 hours until it catches it. The Lion's speed is given as 40 km/h.
Calculating Distance Covered
To find the speed of the Deer, we first need to calculate the distance covered by the Lion in the 4 hours:
- Distance = Speed × Time
- Distance = 40 km/h × 4 hours = 160 km
This means that the Lion covers a total distance of 160 kilometers in the time it takes to catch the Deer.
Understanding Relative Speeds
During the chase, both the Lion and the Deer are moving. Let’s denote the speed of the Deer as "D" km/h. Since the Lion catches the Deer after 4 hours, the Deer has also been running for the same duration. Hence, the distance covered by the Deer can be expressed as:
- Distance covered by Deer = D × 4 hours
Since both the Lion and Deer have covered the same distance when the Lion catches the Deer, we can set up the equation:
Setting Up the Equation
- Distance by Lion = Distance by Deer
- 160 km = D × 4 hours
Now, we can solve for "D":
- D = 160 km / 4 hours
- D = 40 km/h
Conclusion
Thus, the speed of the Deer is 40 km/h. The correct answer is option 'A' - 20 km/h. The reasoning shows that at the moment the Lion catches the Deer, both are effectively moving at the same speed, but the Deer was initially at a disadvantage in terms of distance covered, leading to the Lion's successful catch.