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inysia [295]
3 years ago
8

Daniel and Stanley leave Stanley's house at the same time. Daniel drives north and Stanley drives west. Daniel's average speed i

s 11 mph slower than Stanley's. At the end of one hour, they are 45 miles apart. Find Stanley's average speed. (Round your answer to the nearest tenth.)
Mathematics
1 answer:
masya89 [10]3 years ago
7 0

Answer: Stanley's average speed is 28 mph.

Step-by-step explanation:

Let x represent Stanley's average speed.

Daniel's average speed is 11 mph slower than Stanley's. This means that Daniel's average speed is

(x - 11) mph.

Distance = speed × time

At the end of one hour, they are 45 miles apart. Distance covered by Stanley after 1 hour would be

x × 1 = x miles

Distance covered by Daniel after 1 hour would be

1 × (x - 11) = (x - 11) miles.

Since the total distance covered is 45 miles, then

x + x - 11 = 45

2x = 45 + 11

2x = 56

x = 56/2

x = 28 mph

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