Rod and John ride their bikes in opposite directions. Rod ride 5 miles an hour faster than john. After 2 hours, they are 70 miles apart. How fast is john biking?
2(x+x+5) = 70
Is it 15kmper hour?
To find out how fast John is biking, we'll need to set up an equation based on the given information.
Let's assume John's speed is x miles per hour. Since Rod is riding 5 miles per hour faster, Rod's speed would be x + 5 miles per hour.
In the given time of 2 hours, the combined distance covered by John and Rod would be the sum of their individual distances, which will be equal to the total distance they are apart:
John's distance = Speed * Time = x * 2 miles
Rod's distance = Speed * Time = (x + 5) * 2 miles
Adding up their distances gives us the total distance between them, which is 70 miles:
2x + 2(x + 5) = 70
Now, we can solve this equation to find the value of x, which represents John's biking speed.
2x + 2(x + 5) = 70
2x + 2x + 10 = 70
4x + 10 = 70
Subtracting 10 from both sides of the equation:
4x = 60
Dividing both sides by 4:
x = 15
Therefore, John is biking at a speed of 15 miles per hour.