Question 1120861
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Since the distances are the same and the speeds for the two legs are in the ratio 2:3, the amounts of time required for the two legs are in the ratio 3:2.<br>
45 minutes divided in the ratio 3:2 means 27 minutes (9/20 hours) for the trip at 4km/hr and 18 minutes (3/10 hours) for the trip at 6km/hr.<br>
The distance between the towns is
(4km/hr)(9/20hr) = 36/20km = 1.8km
or
(6km/hr)(3/10hr) = 18/10km = 1.8km<br>
The total distance is then 2(1.8km) = 3.6km.