Ilya and Anya each can run at a speed of 8.40mph and walk at a speed of 3.00mph

Question

Ilya and Anya each can run at a speed of 8.40mph and walk at a speed of 3.00mph . They set off together on a route of length 5.00miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.

a)How long does it take Anya to cover the distance of 5.00miles ? in mph

b)Find Anya's average speed. How long does it take Ilya to cover the distance? in minutes

c)Now find Ilya's average speed. in mph

Please explain how to do this, I'm not sure where to start to set up the problem

Explanation / Answer

a)

We know , distance = speed*time

So, d = v*t

So, t = d/v

So, for half the distance ie 5miles/2 = 2.5 miles,

time taken while walking= 2.5/3 = 0.833 h

time taken while running = 2.5/8.4 = 0.298 h

So, total time taken = 0.833+0.298 = 1.131 hours = 1.131*60

= 67.9 minutes <----as 1 hour = 60 minutes

b)

avg speed = distance traveled/time taken

So,Anya's avg speed = 5 miles/1.131 hours = 4.42 mph <-----------answer

time taken by Ilya = same 67.9 minutes <-----answer

c)

avg speed of Ilya = same = 4.42 mph <------answer

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