Answer :
Time taken in hours from home to college is; 5 hours 20 minutes
How to calculate time from speed?
We are given;
Going home DATA:
Speed rate = 61.5 mph
Distance = x miles
Time taken = distance/speed = x/61.5 hrs
Going to college DATA:
Speed rate = 65.2 mph
Distance = x miles
Time taken = x/65.2 hrs
Thus, the equation set up is:
x/61.5 + x/65.2 = 11
Multiply through by (61.5 * 65.2) to get;
65.2x + 61.5x = 11 * (61.5 * 65.2)
126.7x = 44107.8
x = 44107.8/126.7
x = 348.1279 miles
Thus;
Time in hours from home to college = 348.1279/65.2
Time in hours from home to college = 5.34 hours = 5 hours 20 minutes
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