Answer:
The original speed is 3.7 mph and his faster speed is 7.4 mph.
Step-by-step 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, [tex]\frac{11}{x} +1+\frac{15}{2x}= 6[/tex]
⇒ [tex]\frac{11}{x} +\frac{15}{2x}= 5[/tex]
⇒ [tex]\frac{11}{x} +\frac{7.5}{x}= 5[/tex]
⇒ [tex]\frac{18.5}{x}=5[/tex]
⇒ 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)
