SOLUTION: two vehicles set off from same point for the same journey. Vehicle A travels at 50km/h. Vehicle B leaves after 9 mins and travels 55 km/h. At what distance will A & B be level?

Question 756264: two vehicles set off from same point for the same journey. Vehicle A travels at 50km/h. Vehicle B leaves after 9 mins and travels 55 km/h. At what distance will A & B be level?
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
let after t min & s m both meet
then A travels for t min & the distance=50*50*t/3 m
[as 1km/hr=50/3m/min]
& B travels for t-9 min & moves a distance= 55*50(t-9)/3 m
now 50*50*t/3=55*50(t-9)/3
or 50t=55(t-9)=55t-55*9
or 5t=55*9
or t=11*9=99 min
so the distance=50*50*t/3=50*50*99/3=82500m=82.5 km
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