Josh rode his bicycle 17 miles from home to Columbus, then traveled 53 miles by car from Columbus to Dayton. as

assume that the average car was 43 mph over faster than the average of the bike. a. express the total time required to complete the journey of 70 miles (bike and car), depending on the rate of x of the bike. b. find graphically the rate of cycling if the total travel time was 1 h 40 min. confirm algebraically.

to solve this problem, we must first set some variables: T1 is the time of travel of the bicycle. t2 is the time that the vehicle traveled. Ttotal Josh is the total time was on the road. a. 17 = x * T1 = 53 (x +43) * T2 Ttotal = T1 + T2 70 = (X * T1) + ((x +43) * t2) = x * Ttotal + 43 * t2 (subisituting T2 for 53 / (x 43) has 70 = x * Ttotal + 43 * (53 / (X 43)) b. If the total fee was 1h 40 minutes we can put our Ttotal value equal to 1.66 in the equation Distance = Speed * Time to get: 70 = x * 1.66 + 43 * (53 / (x 43)), so finding our value of x (average rate of cycling) at 20.57 mph.

The fastest bike

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