Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 min. If the ratio of length to bredth of the park is 3 : 2, what are the dimansions?
Choose the correct choice from the following.
A) 100 m x 109 m B) 100 m x 102 m C) 100 m x 120 m D) 100 m x 100 m E) 100 m x 200 m
24 kmph = 24×100060=40024×100060=400 m / min   In 4 minutes he covered 4 x 400 = 1600 m   This is equal to the perimeter 2 ( l + b) = 1600   But l : b = 3:2   Let l = 3k, b = 2k   Substituting, we get 2 ( 3k + 2k ) = 1600 =&gt; k = 180   So dimensions are 480 x 320   Answer:100 m x 100 m
<result>D</result>
Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 min. If the ratio of length to bredth of the park is 3 : 2, what are the dimansions?