Problema Solution
Evan drove 500 km from Windsor to Peterborough in 6 hours. He drove part of the way at 100 km/h and the rest of the way at 80 km/h. How far did he drive at each speed?
Answer provided by our tutors
Let
x = the distance Evan drove at 100 km/h
y = the distance Evan drove at 80 km/h
Since he drove total of 500 km we have:
x + y = 500
We also know that Avg.Speed = Distance/Time follows Time = Distance/Avg.Speed so we have:
x/100 + y/80 = 6
Now, we have the following system of equations:
x + y = 500
x/100 + y/80 = 6
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Click here to see the step by step solution for the system of equations
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x = 100 km
y = 400 km
Evan drove 100 km at 100 km/h and 400 km at 80 km/h.