SOLUTION: After traveling for 40 minutes, Mr. Koole had to slow to 2/3 his original speed for the rest of the trip due to heavy traffic. The total trip of 84 miles took 2 hours. Find his ori

Question 1151746: After traveling for 40 minutes, Mr. Koole had to slow to 2/3 his original speed for the rest of the trip due to heavy traffic. The total trip of 84 miles took 2 hours. Find his original speed.
Found 3 solutions by josgarithmetic, josmiceli, ikleyn:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
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After traveling for 40 minutes, Mr. Koole had to slow to 2/3 his original speed for the rest of the trip due to heavy traffic. The total trip of 84 miles took 2 hours.
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SPEED TIME hours DISTANCE r 2/3 (2/3)r (2/3)r 2-2/3=4/3 (2/3)(4/3)r TOTALS 2 84

.
.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the distance he traveled
for the first 40 min
= distance he traveled for the
remaining time
Let = his speed for first 40 min
= his speed for remaining time
----------------------------------------------------
(1)
(2)
----------------------------------------------------
(1)
and
(2)
(2)
(2)
(2)
(2)
His original speed was 54 mi/hr
------------------------------------
check:

mi
and
(2)
(2)
(2) mi
OK

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
After traveling for 40 minutes, Mr. Koole had to slow to 2/3 his original speed fFor the rest of the trip due to heavy traffic.
The total trip of 84 miles took 2 hours. Find his original speed.
~~~~~~~~~~~~~~~~~~~~~~~~~~

            The setup and the setup equation in the post by @josgarithmetic are INCORRECT.

            So, I came to provide a correct solution.

            For your safety, simply ignore the post by @josgarithmetic.

SPEED TIME hours DISTANCE r 2/3 (2/3)r (2/3)r 2-2/3=4/3 (4/3)(2/3)r = (8/9)r TOTALS 2 84 Equation + = Multiply by 9 both sides 6r + 8r = 9*84 14r = 9*84 r = = 9*6 = 54. ANSWER. The original speed was 54 miles per hour.

Solved.

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