exam Maths Puzzle Numerical Ability

A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.

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Use the given info to find the equation of each conic. Express the answer in the form Ax^2+Cy^2+Dx+Ey+F=0 with integer coefficients and A>0.

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