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Popular Word Problems >

Two train leave towns 1350 kilometers apart at the same time and travel toward each other. One train travels 14 kmh slower than the other. If they meet in 5 hours. What is the rate of each train?

Solution

Tw o t r ain l e a v e t o w n s 1350 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 14 kmh s l o w er t han t h e o t h er . I f t h ey m ee t in 5 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 : 128

second trai n^{'} s speed : 142

Solution steps

Translate the problem into an equation:

x \cdot 5 + (x + 14) \cdot 5 = 1350

Solve for

x, x \cdot 5 + (x + 14) \cdot 5 = 1350 : x = 128

Find speed

first trai n^{'} s speed : 128

second trai n^{'} s speed : 142

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