Respuesta :
Answer:
9 mph
Step-by-step explanation:
Half an hour=30 minutes       at a speed of 3 miles per hour
So he walks 1.5 miles
2:25 to 3:15 is 50 minutes
30 + 10=40
50 - 40=10
so the bus goes 10 minutes travelling 1.5 miles
as there are 6 x 10 minutes in an hour you times 1.5 miles by 6 to find out the mile per hour which is 9
The average speed of the bus will be [tex]9[/tex] miles per hour.
What is average speed?
Average speed is calculated by dividing the total distance travel by the total time taken to travel that distance.
We have,
Average speed of man [tex]=3[/tex] miles per hour
Man started walking at [tex]02:25\ PM[/tex],
And,
Man walks down the road for half an hour i.e. [tex]30[/tex] minutes or [tex]\frac{1}{2}[/tex] hour.
So,
Distance travelled in [tex]30[/tex] minutes [tex]3*\frac{1}{2} = 1.5[/tex] miles per hour
And,
Waits for bus [tex]= 10[/tex] minutes
And, back to his starting point at [tex]03:15\ PM[/tex].
So,
As Man started walking at  [tex]02:25\ PM[/tex],
So,
Total time taken by man till he gets back to his starting point,
[tex]=03:15- 02:25 = 50[/tex] minutes
So,
Total travelling time [tex]=50[/tex] minutes,
Now ,
Travelling time of bus [tex]= 50 - 30 -10=10[/tex] minutes
Now,
Average speed of bus [tex]=\frac{Total\ distance}{Total\ time}[/tex]
Average speed of bus [tex]=\frac{1.5}{\frac{10}{60} }= \frac{1.5\ *\ 60}{10 }[/tex] miles per hour
So,
Average speed of bus [tex]=9[/tex] miles per hour
Hence, we can say that the average speed of the bus will be [tex]9[/tex] miles per hour.
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