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evelyn82
27.07.2020 •
Mathematics
The distance between two cities A and B is 400km. A car leaves from A towards B at a speed of 90kmph, at the same time another car leaves from B towards A at 110kmph.
-
a) Write the equations that give the distance as function of time.
b) Represent them graphically. V
c) Find the distance they have traveled to meet each other and the time invested.
Solved
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Ответ:
a. Distance = 400 - 200t
b. see attached graph
c. A travelled 180 km, B travelled 220 km, both took 2 hours.
Step-by-step explanation:
Given
distance = 400
A = 90 km/h
B = 110 km/h
A & B drive towards each other
Solutions
a) equation
Let
t = elapsed time in hours,
D(t) = distance between two drivers
D(t) = 400 - (A+B) t
D(t) = 400 - 200t ......................(1)
b. graph : for graph, see attached figure.
c. Distance and time
Time:
solve for t with the distance D(t) = 0 using equation (1)
0 = 400 - 200 t
200t = 400
t = 2 hours
distance travelled by A = 2 hours * 90 km/h = 180 km
distance travelled by B = 2 hours * 110 km/h = 220 km
Ответ: