Description
The
tour
bus
has
traveled
the
first
half
of
your
trip
at
only
30
mph.
How
fast
would
your
tour
bus
have
to
travel
for
the
rest
of
your
trip
to
have
an
average
speed
of
50
mph?
Explanation & Answer
Thank you for the opportunity to help you with your question!
Let the speed in the second half of the trip be x.
Let the total distance be d.
Let the time taken for the first half of the trip be t
and the time taken for the first half of the trip be t' .
We know that
For the first half of the trip,
Distance = d/2
Speed = 30 mph
Time = t
So,
For the second half of the trip,
Distance = d/2
Speed = x
Time = t'
So,
Total time taken for the trip = t + t' =
It is required that average speed for the trip be 50 mph.
So, again using the formula for speed, we get
So the bus should travel at 150 mph for the second half of the trip.
Please let me know if you need any clarification. I'm always happy to answer your questions.Review
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