Answer:
So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.
270 miles
Step-by-step explanation:
So is A is going faster than B so A will reach the destination first.
When will A reach it's destination?
Let's find out.
To solve this problem, the following will come in handy:
Speed=distance/time or time*Speed=distance or time=distance/speed .
time=distance/speed
[tex]T_A=\frac{390}{S_A}[/tex]
[tex]T_A=\frac{390}{65}[/tex]
[tex]T_A=6[/tex]
So it will take bus A 6 hours to cover the distance of 390 miles.
How much time would have it taken bus B to reach that same distance?
[tex]T_B=\frac{390}{45}[/tex]
[tex]T_B=8.\overline{6}[/tex]
So it would have taken bus B [tex]8.\overline{6}[/tex] hours to cover a distance of 390 miles.
So the time difference is [tex]8.\overline{6}-6=2.\overline{6}[/tex] hours.
It will take [tex]2.\overline{6}[/tex] more hours than bus A for bus B to complete a distance of 390 miles.
So bus B traveled [tex]2.\overline{6} \cdot 45=120[/tex] miles (used the time*speed=distance) after bus A got to it's destination.
So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.
