Kathy bicycles 8km/h faster than Dennis. In my he same time it takes Dennis to bicycle 36 km, Kathy can bicycle 60 km. How fast does each bicyclist travel

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Diatonic254 Diatonic254 · Answer 1 · 2019-11-06T18:24:46+01:00

Dennis = 12 km'h

Kathy = 20 km/h

Step-by-step explanation:

Lets first establish that time is the same for both Kathy and Dennis and we can therefore assign is the value of t

Kathy is cycling 8km/h faster than Dennis. Therefore if Dennis is doing x km/h Kathy is doing (x+8)km/h

If it takes Kathy t time to cycle for 60 km at (x+8)km/h, we can derive the time t as;

(x+8)* t = 60

t = 60/(x+8)

We can now use this time to establsish how fast Dennis is cycling. Dennis, using a speed of x km/h takes the same time (60/(x+8)) to cycle for 36 km. Therefore;

x * 60/(x+8) = 36

= 60x/(x+8) = 36

36 (x + 8) = 60x

36x + 288 = 60x

288 = 60x – 36x

288 = 24x

12 = x

Dennis is cycling at 12 km/h

Kathy is doing x + 8

= 12 + 8 = 20 km/h

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