Math help understand
posted by Annie
Have world problem and I don't get it please explain step by step simplify and show me as many ways as possible cause one might be easier than other !!
A bicycle travels at constant speed of 15km/hr. Bus starts 195km behind bicycle and catches up to bicycle in 3 hrs. What's average speed of bus in km/hr????

Damon
They both travel for time t = 3 hours
the bike goes:
d = 15 t
the bus goes
d + 195 = v t
so
d = v t  195
but t = 3 so
15(3) = v(3)  195
45 = 3 v  195
3 v = 240
v = 80 km/h 
Steve
or, you can look at it like this. The bus makes up 195km in 3 hours, so it is going 195/3 = 65 km/hr faster than the bike.
15+65 = 80 km/hr
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