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# Two cars start at the same time from opposite ends of a highway that

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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
Bunuel wrote:
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5

Let me assume that they meet after x hour

So for the First car ,traveled distance until they meet=14x mile

and for the Second car,traveled distance until they meet=16x mile

So,Total traveled distance=14x+16x=45 ,so x=$$\frac{3}{2}$$=1.5 hour

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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
Speed R=14+16=30
Total Distance=45
so, Time when they meet =45/30=1.5h
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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
relative speed = (16+14) = 30 mph (since they are travelling towards each other)
time = distance/speed = 45/30=3/2=1.5
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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
We have to calculate the time they meet after beginnning their journey
Distance = 45 miles
Relative speed for 2 vehicles travelling in opposite directions is the sum of their speeds

Time = $$\frac{distance}{speed}$$ =$$\frac{45}{(14+16)}$$ = 1.5hrs

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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
Bunuel wrote:
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5

We’ll use the distance formula d = r x t. We know that the sum of the distances that the two cars travel will total 45 miles. Letting t = the time it takes for the two cars to meet, we can create the following equation:

14t + 16t = 45

30t = 45

t = 45/30 = 3/2 = 1.5

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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
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Re: Two cars start at the same time from opposite ends of a highway that [#permalink]
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