Question 1149181
To the game:
Distance = 220
Rate = r
Time = t = 220/r
<pr>
From the game:
Distance = 220
Rate = r - 11
Time = t + 1 = (220/r) + 1 = 220/(r - 11)
<pr>
(220/r) + 1 = 220/(r - 11)
<pr>
Cross-multiply:
<pr>
(r - 11)((220/r) + 1) = 220
<pr>
220 + r - 2420/r - 11 = 220
<pr>
209 + r - 2420/r = 220
<pr>
r - 2420/r = 11
<pr>
r²/r - 2420/r = 11
<pr>
(r² - 2420)/r = 11
<pr>
Cross-multiply:
<pr>
11r = r² - 2420
<pr>
r² - 11r - 2420 = 0
<pr>
(r - 55)(r + 44) = 0
<pr>
r = 55 and r = -44.  Since the rate (r) cannot be a negative number, we are left with r = 55.
<pr>
To the game:
Rate = r = 55 mph