Answer :
Answer: 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
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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