A rope is 89 cm long. It is cut into 3 pieces. The longest piece is 3 times as long as the middle-si

M4maths Previous Puzzles

19 Aug 2020 Mensuration

A rope is 89 cm long. It is cut into 3 pieces. The longest piece is 3 times as long as the middle-sized piece &

the shortest piece is 44 cm shorter than the longest piece. Find the length of the shortest piece (in cm).

OPtion

1) 12
2) 19
3) 13
4) 9
5) 18
6) 15
7) 10
8) 21
9) 4
10) None of these

Solution

Let the middle be x CM

Longest piece = 3x cm
Smallest piece = 3x - 44

x+3x+3x-44 = 89
7x = 133
x= 19
shortest piece = 3*19-44 = 13 cm

Correct Option: 3 Best Solution (5)