Answer: 2 2/3 hours or 2 hours 40 minutes
Step-by-step explanation:
Bus = 55 mph
Car = 50 mph
Distance apart = 280
First, we add up their speeds:
55+50 = 105 mph
This tells us how fast they are moving closer together.
Then we take the total distance and divide by this speed to get the time before they meet, because Distance/speed = time
So:
280/105 = 2 70/105
The fraction 2 70/105 can be reduced to 2 2/3.
So, the time before the car and the bus meet is 2 2/3 hours, or 2 hours 40 minutes.
Using the speed - distance, formulae, the time taken for both vehicles to meet will be 2.667 hours.
The distance between both vehicles = 280 miles
Car speed = 50 mph
Bus speed = 55 mph
Combined speed = (50 + 55) = 105 mph
Recall :
Time taken = Distance / speed
Time taken for both vehicles and o meet can be calculated thus :
Time taken = Distance / combined speed
Time taken = 280 / 105 = 2.667 hours
Therefore, it will take 2.667 hours for both cars to meet.
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