Triangles problem
Hello all, I felt that the data provided in the below problem is insufficient to solve it. Someone help me in fixing it. A triangular garden is to be enclosed inside 3 straight fences. Raju started running at the same speed on the 3 sides of the proposed boundary of the garden and discovered that it took 48 minutes, 102 minutes and 90 minutes to traverse the garden's smallest, largest and the other 3rd sides respectively. Later, the coverage area of the park was reduced. So, leaving the shortest side alike, the length of the third side was reduced by 60% of its original size and the fence was constructed on this reduced size along the direction of the original side. The longest side is then modified accordingly so that the park still remained triangular in shape. How much time will Raju take to run along the boundary of the garden thus formed? Thanks in advance.
Let t be an unit distance
Let t be an unit distance and we will use it to convert the time to distance We know Distance is directly proportional to time 48, 102, 90 => 8t , 17t, 15t (reduced by 6) i.e a right angle triangle 225 + 64 = 289 After the park reduced shortest side remains same So, Shortest = 48 => 8t 90 is now = 36 => 6t Longest should be 10t => 100 So total time taken is 100 + 48 + 36 = 184 minutes