The length of 3 ropes are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rope is 100 metres more than the length of the third rope, what is the length of the shortest rope?
Select the correct option:	A) 80m	B) 180m	C) 100m	D) 60m	E) of these
Let the lengths of the three ropes be 4k, 5k and 6k respectively.   4k + 6k = 5k + 100   =&gt; 5k = 100 =&gt; k = 20   Therefore the weight of the lightest boy   = 4k = 4(20) = 80m   80mNSWER:80m
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The length of 3 ropes are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rope is 100 metres more than the length of the third rope, what is the length of the shortest rope?