SOLUTION: A car traveled 1650 miles at a certain speed. If the speed had been 11 MPH faster, the trip could have been made in 5 hours less time. Find the speed.

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Question 1156854: A car traveled 1650 miles at a certain speed. If the speed had been 11 MPH faster, the trip could have been made in 5 hours less time. Find the speed.
Found 3 solutions by josgarithmetic, josmiceli, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website!
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1650 miles at a certain speed. If the speed had been 11 MPH faster, the trip could have been made in 5 hours less time.
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SPEED TIME DISTANCE DONE r 1650/r 1650 IF r+11 1650/(r+11) 1650 DIFFERENCE 5

.
.

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
Let = the actual speed
= the faster speed
Let = actual traveling time in hrs
= time for the faster speed
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Equation for the actual speed:
(1)
Equation for the faster speed:
(2)
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(1)
Plug this into (2)
(2)
(2)
(2)
(2)
(2)
(2)
I'll complete the square:
(2)
(2)
(2)
(2)
(2)
(2)
(2)
The actual speed was 55 mi/hr
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check:
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
(2) hrs
OK
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check my math

Answer by MathTherapy(10556)   (Show Source):
You can put this solution on YOUR website!

A car traveled 1650 miles at a certain speed. If the speed had been 11 MPH faster, the trip could have been made in 5 hours less time. Find the speed.

Let speed be S
Then we get the following TIME equation:
----- Factoring out GCF, 5, in numerator
330(S + 11) = 330S + S(S + 11) ------ Multiplying by LCD, S(S + 11)

(S - 55)(S + 66) = 0
Speed or OR S = - 66 (ignore)