Question

phil mahler rode his cross- country bicycle 11 miles in Yellowstone national park. phil then stops for an hour at mud volcano and then rides his bicycle for 15 more miles at a speed that was twice his original speed. if the entire trip, including his one- hour rest, took 6 hours, find phil's original speed and his faster speed​

Answer 1

The original speed is 3.7 mph and his faster speed is 7.4 mph.

Explanation:

He moves 11 miles with bicycle speed of x mph and takes rest for 1 hour and then again he moves 15 miles with 2x mph speed.

The total time he takes is 6 hours.

Hence,
`(11)/(x) +1+(15)/(2x)= 6`

⇒
`(11)/(x) +(15)/(2x)= 5`

⇒
`(11)/(x) +(7.5)/(x)= 5`

⇒
`(18.5)/(x)=5`

⇒ x = 3.7 mph

and 2x = 7.4 mph

Therefore, the original speed is 3.7 mph and his faster speed is 7.4 mph. (Answer)