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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