Algebraic Problem
Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle
travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in
mile per hour is each traveling?
Vivian's rate of change: V (Miles per hour)
Traveled distance by Vivian: DV miles
Noelle’s velocity: N = V + 5 (Miles per hour)
Distance covered by Noelle: DN miles
Elapsed time: T = 8 hours
Distance between Vivian and Noelle: D = 136 miles
Miles per hour: mph
DN = ? DV = ?
0
D = 136miles
DV = T*V = 8 hours * V (Miles)
DN = T*N = 8 hours * N (Miles)
D = DV + DN = 136 miles
Now we'll change the values. DV = 8 hours * V, DN = 8 hours * N and D = 136 miles in
the formula:
136 miles = (8 hours * V) + (8 hours * N) (Miles)
We can also make changes: N = V + 5mph:
136 miles = (8 hours * V) + (8 hours * [V + 5mph]) (Miles)
Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle
travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in
mile per hour is each traveling?
Vivian's rate of change: V (Miles per hour)
Traveled distance by Vivian: DV miles
Noelle’s velocity: N = V + 5 (Miles per hour)
Distance covered by Noelle: DN miles
Elapsed time: T = 8 hours
Distance between Vivian and Noelle: D = 136 miles
Miles per hour: mph
DN = ? DV = ?
0
D = 136miles
DV = T*V = 8 hours * V (Miles)
DN = T*N = 8 hours * N (Miles)
D = DV + DN = 136 miles
Now we'll change the values. DV = 8 hours * V, DN = 8 hours * N and D = 136 miles in
the formula:
136 miles = (8 hours * V) + (8 hours * N) (Miles)
We can also make changes: N = V + 5mph:
136 miles = (8 hours * V) + (8 hours * [V + 5mph]) (Miles)
