Question : An elephant of length 4 m is at one corner of a rectangle cage of size (16m × 30m) and faces towards the diagonally opposite corner. If the elephant starts moving towards the diagonally opposite corner, it takes 15 seconds to reach this corner. Find the speed of the elephant.
Option 1: 1 m/sec
Option 2: 2 m/sec
Option 3: 1.87 m/sec
Option 4: 1.5 m/sec
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Correct Answer: 2 m/sec
Solution :
Given: Length of rectangular cage = 16 metre
Breadth = 30 meter
Time = 15 seconds
Now, $AC = \sqrt{AB^2+BC^2}$
$= \sqrt{30^2+16^2}$
$= \sqrt{900+256} = \sqrt{1156} = 34$ metre
Distance travelled by elephant = $AC$ - length of the elephant = 34 – 4 = 30 metre
Speed of the elephant = $\frac{\text{Distance travelled by the elephant}}{\text{time}}$
= $\frac{30}{15}$ = 2 m/s
Hence, the correct answer is 2 m/sec.
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