A hound ran to catch a rabbit 70 m apart. The rabbit has 35 jumps in one minute & the hound has 50 jumps in 2 minutes. If 2 jumps of the rabbit equal 40 cm & one jump of the hound equal 60 cm, in what time will the hound catch the rabbit?
A hound ran to catch a rabbit 70 m apart. The rabbit has 35 jumps in one minute & the hound has 50 jumps in 2 minutes. If 2 jumps of the rabbit equal 40 cm & one jump of the hound equal 60 cm, in what time will the hound catch the rabbit?
Option 1 -
37/4 min
Option 2 -
33/4 min
Option 3 -
35/4 min
Option 4 -
29/4 min
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1 Answer
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Correct Option - 3
Detailed Solution:Suppose the hound catches the rabbit in t minutes
Number of jumps by the rabbit = 35t & distance covered = 20 * 35t = 700 t cm.
Similarly Distance covered by hound = 25t * 60 = 1500t cm.
Now, 1500 t – 700t = 7000 cm or t = min.
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