On average, jamie can bike five times as fast as he can run. to travel 25 km, he needs 2 h more is he is running that is he is biking. what is his average running speed?

10 km/h

Step-by-step explanation:

Let x km/h be Jamie's running speed. On average, Jamie can bike five times as fast as he can run, then Jamie's biking speed is 5x km/h.

Biking:

Distance = 25 km

Rate = 5x km/h

Time hours

Running:

Distance = 25 km

Rate = x km/h

Time hours

To travel 25 km, Jamie needs 2 hours more when he is running than when he is biking.

Hence,

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!