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Solve Applications involving Uniform Motion
Question
Lorena walks the path around the park in 30 minutes. If she jogs, it takes her 20 minutes. Her jogging speed is 2 miles per
hour faster than her walking speed. Find Lorena's walking speed and jogging speed.

Respuesta :

Answer:

6mph and 4mph

Step-by-step explanation:

because 2:3 is some as 3x:x in terms of speed

Answer: The speed of her walking is 4 mph and the speed of her jogging is 6 mph.

Step-by-step explanation:

Since we have given that

Time taken by Lorena to walk the path = 30 minutes

Time taken by Loren to jogs the path = 20 minutes

Let the speed of her walking be 'x'.

Let the speed of her jogging be 'x+2'.

Since distance would remain same, so it becomes,

[tex]30x=20(x+2)\\\\30x=20x+40\\\\30x-20x=40\\\\10x=40\\\\x=\dfrac{40}{10}\\\\x=4\ mph[/tex]

Hence, the speed of her walking is 4 mph and the speed of her jogging is 6 mph.

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