SOLUTION: A tourist bus leaves Townsville and heads North. It travels at an average speed of 50 km/h. It does not stop until it reaches the small little known settlement of Goanna Creek. A s

Question 42056: A tourist bus leaves Townsville and heads North. It travels at an average speed of 50 km/h. It does not stop until it reaches the small little known settlement of Goanna Creek. A second tourist bus leaves Townsville 2 hours later than the first and travels at an average speed of 70 km/h. The second bus arrives at Goanna Creek at the same time as the first bus. How far is Goanna Creek from Townsville?
Answer by psbhowmick(489) (Show Source):
You can put this solution on YOUR website!
Let the distance between Townsville and Goanna Creek = x km.

For first bus:
Distance to be traveled = x km.
Average speed = 50 km/h.
Therefore, time taken = = hours.

For second bus:
Distance to be traveled = x km.
Average speed = 70 km/h.
Therefore, time taken = = hours.

The second bus started 2 hrs. after the departure of the first bus but both reached the destination at the same time.
So, the second bus takes 2 hr. less time than the first bus to complete the journey.

So we can write,
(Time taken by second bus in hrs.) = (Time taken by first bus in hrs.) - 2
or
or
or
or
or
or x = 350

Hence, the reqd. distance is 350 km.