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Ben can run six miles in forty-eight minutes. If Luke can run twenty percent faster than Ben, how many minutes will Luke take to run nine miles?

Please provide COMPLETE solutions with explanation please

1 answer

Ben's speed is 6mi/48min = 1/8 mi/min
Luke's speed is 6/5 * 1/8 = 3/20 mi/min

9mi/(3/20 mi/min) = 9*20/3 = 60 min

or, Ben's speed is 60/8 = 15/2 mi/hr
Luke's speed is 6/5 * 15/2 = 9 mi/hr
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