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defon
3 years ago
6

A remote control car races down the street at 26 miles per hour. Two hours later a second remote control car races straight down

the same street at 52 miles per hour in pursuit of the first car. From the moment the first car started, how many hours will it take for the second car to catch up to the first car? what is a reasonable first step in solving this problem?
Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

4 hours

Step-by-step explanation:

Given

Car 1:

Speed = 26mph

Time = h

Car 2:

Speed = 52mph

Time = h - 2 --- i.e. 2 hours after car 1

Required

Determine the time car 1 will meet car 2

To do this, we calculate the distance of both cars using:

Distance = Speed * Time

For Car 1:

Distance = 26 * h

Distance = 26h

For Car 2:

x^{2} Distance = 52 * (h - 2)

Open bracket

Distance = 52h - 104

When car 2 meets up with car 1, they are at the same distance.

So:

26h = 52h - 104

Collect Like Terms

26h - 52h = -104

-26h = -104

Solve for h

h = \frac{-104}{-26}

h = 4

<em>Car 2 will catch car 1; 4 hours from the start</em>

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