exam Maths Puzzle Numerical Ability

what fraction lies exactly halfway between x over two and x over three

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exam Other Question

A bus leaves a station at 1 pm traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart? How do I solve the equation and find the property I use at each step to simplify the equation
4x + 11 = (5x + 34)/2