Two motorcycles A and B depart simultaneously from opposite location toward one another 50km apart. The have 120km/h and 80km/h. Determine time the meet and distance travelled?

1 Answer
A08
Apr 21, 2016

#0.25h and 30km# from #A# towards #B#

Explanation:

Motorcycle #A and B# are #50 km# apart.
Speed of #A=120km//h#, towards #A#
Speed of #B=80km//h#, towards #B#.
Suppose they meet after time #t#
Distance traveled by #A=120xxt#
Distance traveled by #B=80xxt#
Total distance traveled by both#=120t+80t=200t#
This distance traveled must be #="Distance between the two"=50km#

Equating both
#200t=50#, Solving for #t#
#t=50/200=0.25 h#
Distance traveled by #A=120xx0.25=30km#, towards #B#

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