Two trains leave stations 228 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 92 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 228 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 85 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 92 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 : 1 \frac{17}{59}

Solution steps

Translate the problem into an equation:

85 x + 92 x = 228

Solve for

x, 85 x + 92 x = 228 : x = \frac{76}{59}

Convert improper fractions to mixed numbers

time : 1 \frac{17}{59}