Raj drives slowly along the perimeter of a rectangular park at 24 kmph and…
2024
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 breadth of the park is 3 : 2, what are the dimensions?
- A.
450 m x 300 m
- B.
150 m x 100 m
- C.
480 m x 320 m
- D.
100 m x 100 m
Attempted by 96 students.
Show answer & explanation
Correct answer: C
24 kmph =(24×1000)/60=400m / 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
=> k = 160
So dimensions are 480 x 320m