SOLUTION: Zukile walks at 4 km/h and runs 6 km/h.If he turns all the way,he reaches the station 15 minutes earlier.Find the distance to the station.
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Question 484298: Zukile walks at 4 km/h and runs 6 km/h.If he turns all the way,he reaches the station 15 minutes earlier.Find the distance to the station.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Zukile walks at 4 km/h and runs 6 km/h.
Assume this sentence should read:
If he runs all the way, he reaches the station 15 minutes earlier, than if he walked.
Find the distance to the station.
;
Change 15 min to .25 hrs
:
First find the time
t = time it takes to run to the station
then
(t+.25) = time to walk to the station
:
Write a distance equation. dist = speed * time
:
run dist = walk dist
6t = 4(t+.25)
6t = 4t + 1
6t - 4t = 1
2t = 1
t = half hr to run to the station
Find the distance
6 * = 3 km is the distance to the station
:
:
Confirm this when he walks, (takes 3/4 of an hr)
4 * (.75) = 3 km
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