Two motorcycles leave home at the same time, heading directly toward each other. They are a total of 300 miles apart. The first motorcycle travels at 65 miles per hour. The second motorcycle travels at 85 miles per hour. How long will it take for the two motorcycles to meet?

Solution

Tw o m o t orcyc l es l e a v e h o m e a t t h e s am e t im e, h e a d in g d i rec tl y t o w a r d e a c h o t h er . T h ey a re a t o t a l o f 300 mi l es a p a r t . T h e f i rs t m o t orcyc l e t r a v e l s a t 65 mi l es p er h o u r . T h e seco n d m o t orcyc l e t r a v e l s a t 85 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 m o t orcyc l es t o m ee t ?

time : 2

Solution steps

Translate the problem into an equation:

65 x + 85 x = 300

Solve for

x, 65 x + 85 x = 300 : x = 2

time : 2