SOLUTION: Hi point A is 450km away from point B. A lorry is travelling from A to B . At the same time, a car is travelling from B to A . If the speed of the lorry is 2/3 the speed of the

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hi point A is 450km away from point B. A lorry is travelling from A to B . At the same time, a car is travelling from B to A . If the speed of the lorry is 2/3 the speed of the       Log On

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Question 1119080: Hi
point A is 450km away from point B. A lorry is travelling from A to B . At the same time, a car is travelling from B to A . If the speed of the lorry is 2/3 the speed of the car, what distance would the car have travelled to meet the lorry along the way.
thanks
Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
Without any calculations, it is clear that the car and the lorry will spend the same time from the start moment 
to the moment they meet each other.


Hence, the lorry will cover  2%2F3 of the distance, which the car will cover.


So, if x is the distance under the question,  then


x + %282%2F3%29x = 450

%285%2F3%29%2Ax = 450


x = %28450%2A3%29%2F5 = 90*3 = 270.


Answer.  The car will cover  270 kilometers, before it meet the lorry.


Check.   270 + 270%2A%282%2F3%29 = 270 + 180 = 450 kilometers.   ! Correct !

Solved.