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John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmother's house, but then he tired and walked the remaining 2 miles. If the total trip took 0.9 hours, then what was his average jogging speed?

Sagot :

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Let's assume John's walking speed is x miles per hour and his jogging speed is 2x miles per hour.

The total distance of the trip is 5 + 2 = 7 miles.

The total time of the trip is 0.9 hours.

We can set up the equation: (5 / x) + (2 / (2x)) = 0.9

To solve for x, we can multiply both sides of the equation by x and simplify:

(5 + 2x) / x = 0.9x

Subtracting 5 from both sides:

2x - 5 = 0.9x

Adding 5 to both sides:

2x = 5.9x

Dividing both sides by 0.1:

x = 59

Since x represents John's walking speed, we can now find his jogging speed:

Jogging speed = 2x = 2 * 59 = 118

John's average jogging speed is 118 miles per hour.

#### 118

The answer is: 118

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