Question

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.

Answer 1

6mph and 4mph

Explanation:

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

Answer 2

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

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,

`30x=20(x+2)\\\\30x=20x+40\\\\30x-20x=40\\\\10x=40\\\\x=(40)/(10)\\\\x=4\ mph`

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