Asked by Sarah

At 9.30 a.m., a car left town X for town Y at a speed of 60km/h for the whole journey. At 11 a.m., a lorry started from town Y and travelled towards town X. The speed of the lorry remained the same until it passed the car at 12.30 p.m. The lorry passed the car at midpoint between X and town Y and decreased its speed by 20km/h. It travelled at the new speed for the rest of the journey. What time did the lorry reach town X?
Answered by Steve
The car traveled for 3 hours, meaning that the distance from X to Y is 360 km.

The lorry covered its 180 km in 1.5 hours, meaning it was going 120 km/hr.

Then the lorry proceeded at 70 km/hr, needing 180/70 = 2 4/7 hours to cover the remaining 180 km.

2 4/7 hrs = 2 hrs 34 min.

So, the lorry reached X at 3:04 pm
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