Physics

On a drive from your home to town, you wish to average 44 mph. The distance from your home to town is 106 miles. However, at 53 miles (half way), you find you have averaged only 33 mph.
What average speed must you maintain in the remaining distance in order to have an overall average speed of 44 mph?
Answer in units of mph.

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  1. Think of it in terms of how far you've gone already at 33 mph, how far left to go right now (and at the speed you will need to solve for, call it "X"), versus on the other side of the equation your original plan in terms of how far you were going to go and at what speed.

    So, this is set out below with "X" being the speed you need to go for the last half of the trip. Solve for X.

    (53 miles)/(33 mile/hr) + (53 miles)/(X mile/hr) = (106 miles)/(44 mile/hr)

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  2. 66

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