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Algebra_4

Chapter 94

Problem 2

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Note: To get credit, also enter your units as 2.15*m (miles),
6.4*h (hours), 7.82*(m/h) (miles per hour),
9.95*(m/s) (meters per second), etc...Round your answer to two
decimal points. Do not show the trailing zero, that is 2.40 becomes 2.4.


Given:
At p.m. John drove to school at miles per hour.
Then he drove back home at miles per hour.
(a) How long did he take to drive back home if he was gone for hours?
(b) How far did he drive back home?
(Remember to enter your units without parentheses)

(a) t2 (time to drive back) =

(b) D (distance back) =


Example:

At t1 = 1 a.m. two trains were D = 700 miles apart and headed toward each other.
If they collided at t2 = 11 a.m., find the velocities of both trains if
one was traveling v2 = v1 + 30 miles per hour faster than the other.

In shorthand form the problem can be written as follows:
v1(t2 - t1) + v2(t2 - t1) = D........(1)
and v2 = v1 + 30 ................(2)
Substituting (2) into (1) and solving for v1 gives

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