Jones and Brown start from two points, which are 375 miles apart, and travel toward each other. The latter travels twice as fast as the former. They meet in 5 hours. Find their rates per hour.

Let x be the rate per hour for Brown; Then 2x is the rate per hour for Jones; We have the equation: 375 = 5 * ( 2x ) + 5 * x ; => 375 = 10x + 5x; => 375 = 15x; => x = 375 ÷15; => x = 25mph ; => 2x = 50mph.

Answered by crisforp | 2024-06-10

To find the rates per hour at which Jones and Brown are traveling, we use the information that they start 375 miles apart and meet in 5 hours, with Brown traveling twice as fast as Jones. We can set up an equation where the distance Jones travels plus the distance Brown travels equals 375 miles.
Let Jones's rate be x miles per hour. Then Brown's rate would be 2x miles per hour since Brown travels twice as fast as Jones. The total distance covered by both in 5 hours is the sum of their individual distances, which is the product of their rates and time.
The equation would then be: 5x + 5(2x) = 375. Simplifying, we get 5x + 10x = 375 which leads to 15x = 375. Dividing both sides by 15 gives us x = 25. Thus, Jones's rate is 25 mph, and Brown's rate is 2x or 50 mph.

Answered by Qwseed | 2024-06-24

Brown's speed is 25 mph, and Jones's speed is 50 mph. They meet after traveling toward each other for 5 hours. Their combined speed covers the 375 miles between them.
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Answered by crisforp | 2024-12-26