What will be the Diameter? If

The time required for a boy to travel along the external and internal boundaries of a circular path are in the ratio 20:19. If the width of the path be 5 meters, the internal diameter is:

  1. 195 meters
  2. 192 meters
  3. 190 meters
  4. 180 meters
Monis Rasool Professor Asked on 9th October 2015 in Maths.
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1 Answer(s)

Answer: (3) 190 meters

Explanation:-
Let the internal radius of circular path = X m
Then, the external radius of the circular path = (X + 5 ) m

According to the question,
2 x pai x X/ 2 x pai x (X + 5) = 19/20
X/ (X + 5) = 19/20
20 X = 19 X + 95
20 X – 19 X = 95
X = 95
Then, the internal diameter of circular path = 95 cm
Therefore, diameter of the circular path  =2 x 95
= 190 cm

Hence, the answer is (3) 190 cm.

Anurag Mishra Professor Answered on 10th October 2015.
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