Spent X hrs. on bike.
Spent 4-X hrs. walking.
35x + 3(4-x) = 92.
X = ?.
4-x = ?.
Spent 4-X hrs. walking.
35x + 3(4-x) = 92.
X = ?.
4-x = ?.
(b / 35) + [(92 - b) / 5] = 4 ... solve for b
time on bicycle = b / 35
x/35 + (92-x)/3 = 4
x = 87.5 miles
now you can find the time he spent riding.
Let's assume that Jim spent "x" hours riding his bicycle.
Since the total trip took 4 hours, the time spent walking can be found by subtracting "x" from 4. So the time spent walking is (4 - x) hours.
Now, to calculate the distance traveled by each mode of transportation, we can use the formula:
distance = rate * time
For the bike ride, the distance can be calculated as:
distance(bike ride) = rate(bike ride) * time(bike ride)
distance(bike ride) = 35 mph * x
For the walk, the distance can be calculated as:
distance(walk) = rate(walk) * time(walk)
distance(walk) = 3 mph * (4 - x)
According to the problem, the total distance traveled is 92 miles. So we can set up the equation:
distance(bike ride) + distance(walk) = total distance
35x + 3(4 - x) = 92
Now we can solve this equation for "x" to find the amount of time Jim spent on the bicycle.
35x + 12 - 3x = 92
32x = 80
x = 2.5
Therefore, Jim spent 2.5 hours on the bicycle.