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Two buses leave a station at the same time and travel in opposite directions. One bus travels 9(mi)/h faster than the other. If the two buses are 847 miles apart after 7 hours, what is the rate of each bus?

Solution

Two buses leave a station at the same time and travel in opposite directions. One bus travels 9\frac{mi}{h} faster than the other. If the two buses are 847 miles apart after 7 hours, what is the rate of each bus?

Solution

first bu s^{'} s speed : 65

second bu s^{'} s speed : 56

Solution steps

Translate the problem into an equation:

x \cdot 7 + (x - 9) \cdot 7 = 847

Solve for

x, x \cdot 7 + (x - 9) \cdot 7 = 847 : x = 65

Find speed

first bu s^{'} s speed : 65

second bu s^{'} s speed : 56

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