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Anthony drove 140 miles in 2 1/2 hours. He then drove the next 3 1/4 hours at a rate that was 6 miles per hour slower than his first rate. How many miles did Anthony drive in all?

Respuesta :

Answer:

302.5 miles

Step-by-step explanation:

using the relationship

D = ST ( D is distance, S is speed and T is time in hours )

given he  drove 140 miles in 2 [tex]\frac{1}{2}[/tex] = 2.5 hours , then

S = [tex]\frac{D}{T}[/tex] = [tex]\frac{140}{2.5}[/tex] = 56 mph

the next part of his journe is 6mph slower, that is 50 mph for 3 [tex]\frac{1}{4}[/tex] = 3.25 hours, then

D = ST = 50 × 3.25 = 162.5 miles

total distance travelled = 140 + 162.5 = 302.5 miles

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