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
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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):
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.
