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Popular Word Problems >

Two buses leave towns 1365 kilometers apart at the same time and travel toward each other. One bus travels 17km per hour slower than the other. If they meet in 7 hours, what is the rate of each bus?

Solution

Tw o b u ses l e a v e t o w n s 1365 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 e a c h o t h er . O n e b u s t r a v e l s 17 km p er h o u r s l o w er t han t h e o t h er . I f t h ey m ee t in 7 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 : 89

second bu s^{'} s speed : 106

Solution steps

Translate the problem into an equation:

x \cdot 7 + (x + 17) \cdot 7 = 1365

Solve for

x, x \cdot 7 + (x + 17) \cdot 7 = 1365 : x = 89

Find speed

first bu s^{'} s speed : 89

second bu s^{'} s speed : 106

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