SOLUTION: Monica left Montreal driving at 30 km/h. Wendy left 2 h later and traveled the same road at 40 km/h. At what distance from Montreal will Wendy overtake Monica? use linear sy

Question 1149559: Monica left Montreal driving at 30 km/h. Wendy left 2 h later and traveled the same road at 40 km/h. At what distance from Montreal will Wendy overtake Monica?

use linear systems (substitution, elimination)
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let distance be
Monica’s speed is
Wendy’s speed is
Monica’s time
Wendy’s time
Time difference between Monica and Wendy meeting is hrs, so
............eq.1
and, since => , then
...plug in given speed
.........eq.2 ...substitute in eq.1

km

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

When Wendy left, Monica had been driving 2 hours at 30 km/h, so she had traveled 60 km.

Monica travels 10 km/h faster than Wendy; since she needs to make up 60 km to overtake Wendy, it will take her 60/10 = 6 hours.

Since she drives at 40 km/h, the distance from Montreal at which Monica overtakes Wendy is 4*60 = 240 miles.

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