Problema Solution
Carla began her workout jogging for 3 miles then bicycling for 20 miles. She bicycled at a speed that was 7 miles per hour faster than she jogged. She spent twice as much time bicycling as jogging. What was her jogging speed and what was her bicycling speed?
Answer provided by our tutors
let
d1 = 3 mi the distance that Carl jogged
d2 = 20 mi the distance that Carla bicycled
v = the speed of jogging, v>0
v + 7 = the speed of bicycling
since speed = distance/time follows time = distance/speed
She spent twice as much time bicycling as jogging:
d2/(v + 7) = 2d1/v
20/(v + 7) = 2*3/v
by solving we find:
v = 3 mph
click here to see the step by step solution of the equation:
v + 7 = 3 + 7 = 10 mph
the jogging speed was 3 mph while the bicycling speed was 10 mph.