SOLUTION: Steve drove from Woolloomooloo to Kurri Kurri in 3 hours. Julie left Woolloomooloo at the same time, but drove 5km/h slower and arrived in Kurri Kurri 20 mins later than Steve. Fin

Question 1110678: Steve drove from Woolloomooloo to Kurri Kurri in 3 hours. Julie left Woolloomooloo at the same time, but drove 5km/h slower and arrived in Kurri Kurri 20 mins later than Steve. Find the distance from Woolloomooloo to Kurri Kurri in kilometres,
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.

Let "r" be the slower rate, in km/h.


The condition says

3*(r+5) = .    (1)


Here 3 is "3 hours",   =  hours = 3 hours and 20 minutes.


From equation (1), 


9*(r+5) = 10r  ====>  9r + 45 = 10r  ====>  r = 45.


The slower rate is 45 km/h.  The faster rate is 5 km/h more:  45 + 5 = 50 km/h.


The distance under the question is 3*50 = 150 kilometers.

Solved.

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