The expression equivalent to the total distance Rhonda drove is 51x = 275
Given:
Distance 1:
Number of miles = 51 miles
Number of hours = 5 hours
Distance 2:
Number of miles = 55 miles
Number of hours = x hours
Ratio of miles to number of hours = 51 miles : 5 hours
Ratio of miles to number of hours = 55 miles : x hours
Equate the ratios
51 : 5 = 55 : x
51/5 = 55/x
cross product
51 × x = 5 × 55
51x = 275
x = 275 / 51
x = 5.392156862745098
Approximately,
x = 5.4 hours
Therefore, the number of hours taken to travel 55 miles is 5.4 hours
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