Question

Need Help

Dan and Ellen started jogging at the same time along the route shown below. Both did not change their speeds throughout. after 35 min, Dan was at the halfway point and Ellen was 300 metres behind. Dan reached the end point 5 min before Ellen. What was the distance of the route?

Answer 1

Dan finishes in 70 minutes, so Ellen finishes in 75 minutes.

If
Dan's speed is d m/min
Ellen's speed is e m/min

So, d = (15/14)e
35e = 35d-300
35e = 35(15e/14)-300
35e = 75e/2-300
5e/2 = 300
e = 120

So, the distance is 120*75 = 9000m

You can check to make sure that the other conditions are met.