Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet

Solution

Tw o t r ain s l e a v e s t a t i o n s 360 mi l es 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 a t 70 mi l es p er h o u r w hi l e t h e o t h er t r a v e l s a t 80 mi l es p er h o u r . Ho w l o n g w i ll i t t ak e f or t h e tw o t r ain s t o m ee t

time : 2 \frac{2}{5}

Solution steps

Translate the problem into an equation:

70 x + 80 x = 360

Solve for

x, 70 x + 80 x = 360 : x = \frac{12}{5}

Convert improper fractions to mixed numbers

time : 2 \frac{2}{5}