Bob is hiking down a 12-mile country-trail. He could hike 3 mph for the first 2 hours and then go the rest of the way 5 mph, or he could go the whole way at 4 mph. How long would each option take? Which option is faster?

c

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.