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Drove from one town to next and back. 70 miles per hour there, 50 miles per hour back. Total drive time 12 hours. What's the distance between the towns?

Respuesta :

sqdancefan

Answer:

  350 miles

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

If we let d represent the distance between towns, we have a total drive time of ...

  d/70 + d/50 = 12

  50d + 70d = 12(50)(70) . . multiply by 50·70

  120d = 120(350) . . . . . . . simplify a bit

  d = 350 . . . . . . . . . . . . . .  divide by 120

The distance between towns is 350 miles.

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