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Popular Word Problems >

Two buses leave towns 945 kilometers apart at the same time and travel towards each other. One bus travels 13 kilometers faster than the other. If they meet in 5 hours, what is the rate of each bus?

Solution

Tw o b u ses l e a v e t o w n s 945 ki l o m e t ers a p a r t a t t h e s am e t im e an d t r a v e l t o w a r d s e a c h o t h er . O n e b u s t r a v e l s 13 ki l o m e t ers f a s t er t han t h e o t h er . I f t h ey m ee t in 5 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 ?

Solution

first bu s^{'} s speed : 101

second bu s^{'} s speed : 88

Solution steps

Translate the problem into an equation:

x \cdot 5 + (x - 13) \cdot 5 = 945

Solve for

x, x \cdot 5 + (x - 13) \cdot 5 = 945 : x = 101

Find speed

first bu s^{'} s speed : 101

second bu s^{'} s speed : 88

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