THE DISTANCE BETWEEN A AND B IS 150KM.A CAR STARTS FROM A AT 10PM AND TRAVELS AT AN AVERAGE SPEED OF 80KM/H TOWARDS TOWN B.A TRANSIT LORRY TRAVELS FROM TOWN B AT 10:15AM TOWARDS TOWN A AT AN AVERAGE SPEED OF 40KM/H.AT WHAT TIME WILL THE TWO VEHICLES MEET?

1 answer

Before 10:15, only car is on the road, by which time it has travelled 80*(15/60)=20 km towards B.
So remaining distance as of 10:15 is 150-20=130 km.
When lorry starts, they approach each other at a total speed of (80+40)=120 km/h.
Elapsed time (since 10:15) when they meet is therefore
= 130/(80+40)=1h05m
You can work out the meeting time from here.
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