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timofeeve [1]
3 years ago
13

David travels from Building A to Building B. He can either cycle

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

43 minutes

Step-by-step explanation:

  • <em>Let cycling speed be x and driving speed be y</em>

<u>Equations as per given, considering same distance in both cases:</u>

  • 19x + 8y = 13x + 10y
  • 19x - 13x = 10y - 8y
  • 6x = 2y
  • 3x = y

We see that driving speed is 3 times greater than cycling speed

Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:

  • 19 + 24 = 43 minutes or
  • 13 + 10*3 = 43 minutes is the time to cycle between A and B
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