Two buses leave a station at the same time and travel in opposite directions. One bus travels 13 mph faster than the other. If the two buses are 666 miles apart after 6 hours, what is the rate of each bus?

Lösung

Tw o b u ses l e a v e a s t a t i o n a t t h e s am e t im e an d t r a v e l in o pp os i t e d i rec t i o n s . O n e b u s t r a v e l s 13 m p h f a s t er t han t h e o t h er . I f t h e tw o b u ses a re 666 mi l es a p a r t a f t er 6 h o u rs, w ha t i s t h e r a t e o f e a c h b u s ?

first bu s^{'} s speed : 62

second bu s^{'} s speed : 49

Schritte zur Lösung

Translate the problem into an equation:

x \cdot 6 + (x - 13) \cdot 6 = 666

Löse nach

x, x \cdot 6 + (x - 13) \cdot 6 = 666 : x = 62

Finde speed

first bu s^{'} s speed : 62

second bu s^{'} s speed : 49