SOLUTION: Chester drives his car 165 miles and has an average of a certain speed. If the average speed had been 2mph more, he could have traveled 176 miles in the same length of time. What w
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Question 1178827: Chester drives his car 165 miles and has an average of a certain speed. If the average speed had been 2mph more, he could have traveled 176 miles in the same length of time. What was his average speed? Found 2 solutions by mananth, ikleyn:Answer by mananth(16946) (Show Source):
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Chester drives his car 165 miles and has an average of a certain speed let the speed be x mph
. If the average speed had been 2mph more,---> x+2 mph
he could have traveled 176 miles in the same length of time.
Time is same
165/x = 176/(x+2)
165(x+2)= 176x
165x + 330 =176x
11x =330
x= 30 mph -----> avg speed
Let x be his average speed, in miles per hour.
Then the hypothetical speed is (x+2) mph.
From the condition, you have this equation
= .
To solve it, first cross-multiply; then simplify
165*(x+2) = 176x
165x + 165*2 = 176x
330 = 176x - 165x
330 = 11x
x = = 30.
ANSWER. His average speed was 30 mph.
Solve, answered, explained and completed.
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