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Ian drove home from college traveling an average speed of 61.5 mph and drove back to the college the following week at an average speed of 65.2 mph. If the total round trip took 11 hours, how much time did it take Ian to drive from home back to college? Express the time in hours and minutes. Round to the nearest minute.

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Sagot :

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

Read more about Time from speed at; https://brainly.com/question/4931057

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