Two vans leave a campground at the same time. One is traveling north at a speed that is 10 mi/hr faster than the other, which is traveling south. After 2.5 hours, the vans are 255 miles apart. What is the speed iof the van traveling south?

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Answer 1 · 2018-08-07T07:36:36

The speed is #=92 " mph"#

Let the speed of the van travelling south #=v " mph "#

The distance travelled by the car travelling north is

#d_1=10*2.5=25#

The distance travelled by the car travelling south is

#d_2=v*2.5=2.5v#

The distance between the cars after #2.5h# is

#d_1+d_2=255#

#25+2.5v=255#

#2.5v=255-25=230#

#v=230/2.5=92 " mph"#

The speed is #=92 " mph"#