Answer:
11 turns
Explanation:
A piece on a game board moves forward 8 spaces on its first turn and moves backward 3 spaces on its second turn. How many space it moves for each 2 turns?
Space it moves for each 2 turns = 8-3 = 5
The question is asking for how many turns will it take to move 30 spaces, since we know that the piece will move for 5 space each 2 turns(let's call this a cycle).
Cycle required for 30 spaces = 30/5 = 6
At this point, many will think that the no. of turns required is 6x2 = 12, but that's not the answer! Do you still remember how the cycle works? 1st up 5, 2nd down 3! On the 11th turn, the piece actually moved for 5x5 + 8 space = 33 spaces, which is greater than 30!
∴The answer is 11 turns