Two towns are 260 km apart. A car leaves town A at 6:00 a.m. and travels toward B at 60 km/h. A truck travels from town B toward A at 50 km/h and meets the car at 10:00 a.m. At what time did the truck leave town B?
Show answer & explanation
Correct answer: B
Explanation
Given:
Distance = 260 km
Car: Starts at 6:00 a.m., Speed = 60 km/h
Truck: Speed = 50 km/h
Meeting time = 10:00 a.m.
According to the formula:
Distance = Speed × Time
Time traveled by the car = From 6:00 a.m. to 10:00 a.m. = 4 hours
Distance covered by the car = 60 × 4 = 240 km
Remaining distance (for the truck) = 260 − 240 = 20 km
Time taken by the truck = 20 / 50 = 0.4 hours = 24 minutes
Truck's start time = 10:00 a.m. − 24 minutes = 9:36 a.m.