Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)

Sagot :

mhanifa

Answer:

  • 9 km/h or 48 km/h

Step-by-step explanation:

  • Let the distance is d, speed is s

As per given we have:

  • d/s = 5
  • 36/s + (d - 36)/(s + 3) = 5 - 1/4

Substitute d with 5s and solve for s:

  • 36/s + (5s - 36)/(s + 3) = 19/4
  • 36(s + 3) + s(5s - 36) = 19s(s + 3)/4
  • 4(36s + 108 + 5s² - 36s) = 19s² + 57s
  • 20s² + 432 = 19s² + 57s
  • s² - 57s + 432 = 0
  • s² - 9s - 48s + 432 = 0
  • s(s - 9) - 48(s - 9) = 0
  • (s - 9)(s - 48) = 0
  • s -9 = 0 ⇒ s = 9 km/h
  • s - 48 = 0 ⇒ s = 48  km/h

The original speed of grey wolf can be 9 km/h or 48 km/h

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.