SOLUTION: Dan left school and drove east on Mass Pike at 55 mph. One hour later, Joe left school and traveled west on the Mass Pike at 50 miles per hour. How long will Dan have traveled when

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Question 1049380: Dan left school and drove east on Mass Pike at 55 mph. One hour later, Joe left school and traveled west on the Mass Pike at 50 miles per hour. How long will Dan have traveled when he and Joe are 300 miles apart?
Found 2 solutions by addingup, advanced_Learner:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
55(x+1)+50x = 300
55x+55+50x = 300
105x = 245
x = 245/105 = 2.33 hours or 0.3333*60 = 20 thus 2 hours and 20 minutes
Note: There are 60 minutes in an hour, this is why 0.3333 of an hour times 60

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
dan
time t
distance 55t
speed 55

joe
time t%2B1
speed 50
distance 50t%2B50
300=50t%2B50+55t
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: t=2.33333333333333.
  • Graphical form: Equation 105t=245 was fully solved.
  • Text form: 105t=245 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+105t=245+%29
    For tutors: simplify_cartoon( 105t=245 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at 105%2At=highlight_red%28+245+%29.
Moved these terms to the left highlight_green%28+-245+%29
It becomes 105%2At-highlight_green%28+245+%29=0.

Look at highlight_red%28+105%2At-245+%29=0.
Solved linear equation highlight_red%28+105%2At-245=0+%29 equivalent to 105*t-245 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=2.33333333333333.

Universal Simplifier and Solver


Done!

t=7%2F3