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dolphi86 [110]
3 years ago
11

Two cars leave towns 340 kilometers apart at the same time and travel toward each other. One car's rate is 14 kilometers per hou

r more than the other's. If they meet in 2 hours, what is the rate of the slower car?
Mathematics
1 answer:
Nana76 [90]3 years ago
6 0

Answer:

  78 km/h

Step-by-step explanation:

Let s represent the speed of the slower car. The total speed of the two cars is their closing speed:

  (s) + (s+14 km/h) = (340 km)/(2 h)

  2s + 14 km/h = 170 km/h . . . . . simplify

  s + 7 km/h = 85 km/h . . . . . . . . divide by 2

  s = 78 km/h . . . . . . . . . . . . . . . . subtract 7 km/h

The rate of the slower car is 78 km/h.

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