Noah and Andre are 15 miles apart on a bike path when they start biking towards each other. Noah rides at a constant speed of 4 miles per hour, and Andre rides at a constant speed of 2 miles per hour. How long does it take until Noah and Andre meet?

It takes both Noah and Andre 2.5 hours to meet.

Speed is the ratio of distance travelled to total time taken. Speed is given by:

Speed = distance/time

Let d₁ represent the distance covered by Noah and d₂ represent the distance covered by Andre at time t.

Since  Noah rides at a constant speed of 4 miles per hour, hence:

4 = d₁/t

d₁ = 4t

Also, Andre rides at a constant speed of 2 miles per hour hence:

2 = d₂/t

d₂ = 2t

But they are 15 miles apart, hence:

d₁ + d₂ = 15

4t + 2t = 15

6t = 15

t = 2.5 hours

Hence it takes both Noah and Andre 2.5 hours to meet.

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it will take 2.5 hours until Noah and Andre meet.

Step-by-step explanation:

Noah and Andre are 15 miles apart on a bike path when they start biking towards each other. This means that by the time they would meet, they would have covered a total distance of 15 miles.

Let t represent the time it would take for them to meet.

Distance = speed × time

Noah rides at a constant speed of 4 miles per hour. This means that the distance that Noah would cover in t hours is 4t

Andre rides at a constant speed of 2 miles per hour. This means that the distance that Andre would cover in t hours is 2t

Since the total distance is 15 miles, then

4t + 2t = 15

6t = 15

t = 15/6

t = 2.5 hours

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