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Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. How many hours pass before they meet on the trail?

User Earthling
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1 Answer

6 votes

Answer:

1 hour

Step-by-step explanation:

speed of Thato (St) = 2.5 mi/h

speed of Edwin (Se) = 3.5 mi/h

distance (d) = 6 mi

How many hours pass before they meet on the trail?

  • lets assume that they both meet when the time = T hours
  • At time = T hours, the distance covered by Thato = speed x time

= 2.5 x T = 2.5T

  • At time = T hours, the distance covered by Edwin = speed x time

= 3.5 x T = 3.5T

  • At the time they meet (T hours) the addition of the distance covered by both Thato and Edwin would be 6 mi (the total distance covered by both of them would be 6 mi)
  • 2.5T + 3.5T = 6

6T = 6

T = 1 hour

User Bjorke
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