If both buses travel with an average speed of 45 mi/h and we want to find when will they be 400 miles apart, we need to find when one of them will be 200 miles from its start point. To do it let's see how long does it take to make 1 mile:
45 miles per hour = 45/60 mile per minute = 3/4 mile per minute = 0,75 mile per minute
200 ÷ 3/4 = = 200 * 4/3 = = 800/3 = = 266 2/3 [minutes] = = 4 hours 26 minutes 40 seconds
That's how long it takes for one bus to be 200 miles from its start point. It also means that both buses will be 400 miles apart after 4 hours 26 minutes and 40 seconds of driving opposite directions.
The two buses will be 400 miles apart after approximately 4.44 hours.
To find out when the two buses will be 400 miles apart, you can use the formula for the distance traveled, which is:
Distance = Speed × Time
Speed of the first bus as S 1 = 45 mph
Speed of the second bus as S 2 = 45 mph
Time taken as T hours
Since the two buses are moving in opposite directions, their distances add up to 400 miles:
( S 1 × T ) + ( S 2 × T ) = 400
Substitute the given values:
( 45 × T ) + ( 45 × T ) = 400
90 T = 400
Now, solve for T:
T = 90 400
T = 4.44
The two buses will be 400 miles apart after approximately 4.44 hours. This is calculated by adding their distances and using the formula for distance. Since both buses travel at the same speed in opposite directions, their combined speed is 90 mph.
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