Question
A cyclist rides at a constant speed of 12 miles per hour
for the first half of a journey. For the second half, the cyclist increases the speed to 18 miles per hour. What is the average speed for the entire journey?Solution
ATQ, Let the total distance be 2x miles. Time taken for the first half = x/12 hours Time taken for the second half = x/18 hours Total time = x/12 + x/18 = 5x/36 hours Average speed = (2x) / (5x/36) = 72/5 = 14.4 miles per hour
In the figure BD = CD = AC, ∠ABC = 27 ° , ∠ACD = y. Find value of x.
A triangle ABC is inscribed in a circle with radius 10 cm. The sides of the triangle are AB = 12 cm, BC = 16 cm, and AC = 20 cm. Find the area of the tr...
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