At 8 a.m., Joey travelled from Town X to Town Y at a constant speed of 120 km/h. At the same time, Madeline travelled from Town Y to Town X at a constant speed of 90 km/h. At 9.20 a.m., they were 50 km apart after driving past each other. What is the distance between Town X and Town Y? Answer : ___

1. Calculate the total time travelled by Joey and Madeline.

From 8 a.m. to 9.20 a.m. is 1 hour and 20 minutes.
$1 \text{ h } 20 \text{ min} = 1\frac{20}{60} \text{ h} = 1\frac{1}{3} \text{ h} = \frac{4}{3} \text{ h}$

2. Calculate the total distance covered by both vehicles combined.

Combined speed = $120 + 90 = 210 \text{ km/h}$
Total distance covered by both = $210 \times \frac{4}{3} = 280 \text{ km}$

3. Determine the distance between Town X and Town Y.

Since they have driven past each other and are 50 km apart, the total distance they covered is the distance between the towns plus the 50 km they drove away from each other.
Distance between Town X and Town Y = $280 - 50 = 230 \text{ km}$