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Popular Word Problems >

Two trains leave towns 700kilometers apart at the same time and travel toward each other. One train travels 11 kmh slower than the other. If they meet in 4hours. What is the rate of each train?

Solution

Tw o t r ain s l e a v e t o w n s 700 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 t r ain t r a v e l s 11 kmh s l o w er t han t h e o t h er . I f t h ey m ee t in 4 h o u rs . Wha t i s t h e r a t e o f e a c h t r ain ?

Solution

first trai n^{'} s speed : 82

second trai n^{'} s speed : 93

Solution steps

Translate the problem into an equation:

x \cdot 4 + (x + 11) \cdot 4 = 700

Solve for

x, x \cdot 4 + (x + 11) \cdot 4 = 700 : x = 82

Find speed

first trai n^{'} s speed : 82

second trai n^{'} s speed : 93

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