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nataly862011 [7]
3 years ago
15

Solve the following word problem. A man travels from town X to town Y at an average rate of 60 mph and returns at an average spe

ed of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from town X to Y?
___ miles
Mathematics
1 answer:
sladkih [1.3K]3 years ago
4 0

Answer:

  • d = 1650 miles

Step-by-step explanation:

Let the distance be d

<u>Then the time in travel is</u>

  • d/60 one way, d/50 on return

<u>The round trip would take 1/2 hours longer if the average speed was 55 mph</u>

  • d/60 + d/50 = 2d/55 + 1/2
  • d/60 + d/50 - 2d/55 = 1/2

LCM(60,50,55) = 11*12*5*5 = 3300

  • 55d/3300 + 66d/3300 - 120d/3300 = 1/2
  • d/3300= 1/2
  • d = 1650 miles

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