One piece of rope is 60 yards long it os cut into 2 piece so that one piece is 4 timed as longrr as the other piece how long os the longer piece of rope

Given that one piece of rope is 60 yards long. Then it is cut into 2 piece so that one piece is 4 times as longer as the other piece.

Let length of the smaller piece of rope = x yard.

Then length of the longer piece of rope = (4x) yard. {because other piece is 4 times longer}

If we add length of both pieces then we will get total length of the rope which is 60 yard

Hence we get equation:

x + 4x = 60

5x = 60

x=60/5

x=12

Hence smaller piece is 12 yard.

But we need length of larger piece which is given by 4x

4x=4*12=48

Hence final answer is 48 yards.