SOLUTION: In California, the distance from Jackson to Lodi is about 40 mi as is the distance from Lodi to Manteca. Rico drove from Jackson to Lodi during the rush hour, stopped in Lodi for a

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Question 888059: In California, the distance from Jackson to Lodi is about 40 mi as is the distance from Lodi to Manteca. Rico drove from Jackson to Lodi during the rush hour, stopped in Lodi for a high energy drink, and then drove onto Manteca at 10 mph faster. Driving time for the entire trip was 88 min. Find his speed Jackson to Lodi.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Jackson to Lodi, 40 miles.
Lodi to Manteca, 40 miles.

r = speed in rush hour traffic.
r%2At%5B1%5D=40+and+%28r%2B10%29t%5B2%5D=40;
and
t%5B1%5D%2Bt%5B2%5D=88%2F60

This is three equations and three unknowns. Let's rename the variables for time quantities:

rx=40, %28r%2B10%29y=40, and x%2By=88%2F60;
x is time for first part of travel and y is time for second part of travel.

I am letting you continue from here... I suggest trying to eliminate r using the rate equations and then you will just have two equations in x and y.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

In California, the distance from Jackson to Lodi is about 40 mi as is the distance from Lodi to Manteca. Rico drove from Jackson to Lodi during the rush hour, stopped in Lodi for a high energy drink, and then drove onto Manteca at 10 mph faster. Driving time for the entire trip was 88 min. Find his speed Jackson to Lodi.


Let speed from Jackson to Lodi be S

Then speed from Lodi to Manteca is: S + 10

Time taken to travel from Jackson to Lodi is: 40%2FS

Time taken to travel from Lodi to Manteca is: 40%2F%28S+%2B+10%29

Since time taken to complete the journey, ignoring time spent during stop in Lodi, was 88 mins, or 88%2F60 hrs,

then we can say that: 40%2FS+%2B+40%2F%28S+%2B+10%29+=+88%2F60

Solve for S, his speed from Jackson to Lodi.

Then do a check!! 



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