A car travels at 60 mph, and a truck at 40 mph. If they start 2 hours apart, when will they meet?
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To determine when the car and truck will meet, we need to calculate the time it takes for the car to catch up with the truck.
Let's assume the meeting point is denoted as "x" miles from the starting point of the car.
The car travels at a rate of 60 mph, and if it takes "t" hours to meet the truck, it will have traveled a distance of 60t miles when they meet.
The truck, on the other hand, travels at a rate of 40 mph and starts 2 hours earlier than the car. Therefore, it has already traveled for t + 2 hours and covered a distance of 40(t + 2) miles when they meet.
Since they meet at the same position, the distance covered by the car and the truck must be the same:
60t = 40(t + 2)
Simplifying the equation:
60t = 40t + 80
60t - 40t = 80
20t = 80
t = 80 / 20
t = 4
Therefore, the car and truck will meet after 4 hours.
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