You can
put this solution on YOUR website!...calm...take deep breaths...
d = r * t ___ they ride the same (equal) distance
18t = 12(t + 1.5) ___ 18t = 12t + 18 ___ 6t = 18 ___ t = 3 ___ t + 1.5 = 4.5
d = 18 * 3 = 54
You can
put this solution on YOUR website!x = time for rider 1 to city b
y = time for rider 2 to city b
d = distance from a to city b
d = (rate)*(time)
what is known? two things:
1. distance is same for both riders
2. time for rider 2 is 1.5hrs longer, therefore the equation for this is:
y = x + 1.5
therefore since distance is same:
(rate rider1)*(time rider1) = (rate rider2)*(time rider2)
(18mph)*(x hours) = (12mph)*(y hours)
and substitute for y since y = x + 1.5:
(18mph)*(x hours) = (12mph)*(x + 1.5 hours)
18x = 12(x + 1.5)
18x = 12x + 18
subtract 12x from both sides
6x = 18
divide both sides by 6
x = 3
time for rider1 is 3hrs.
time for rider2 is 3 + 1.5 = 4.5 hours
how far?
d = (r)(t)
d = (18)(3) = 54
distance = 54 miles
check by d = (r)(t) for rider 2:
d = (12)(4.5)
d = 54, yes--answer checks out
