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 $=92 " mph"$