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g100num [7]
3 years ago
14

Two buses leave a corner at the same time. One bus goes uptown at a constant rate of 25 mph, the other downtown at a rate of 15

mph. How long will it take the buses to be 30 miles apart?
A. 20 minutes
B. 30 minutes
C. 45 minutes
D. 1 hour and 15 minutes
Mathematics
2 answers:
Nutka1998 [239]3 years ago
6 0

Answer:

45 minutes

Step-by-step explanation:

the answer is c

vlada-n [284]3 years ago
5 0

The rate of separation = 25 + 15 = 40 mph


speed = distance / time

40 = 30 / t


t = 30/40 hour = 45 minutes


Its C.

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<em>Final speed (v) =118 km/h </em>⇒ \frac{118*1000}{3600} <em>m/s</em> ≈ <em>32.8m/s</em><em>
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Distance(S) travel in that particular instant is carried out by 'Third equation of motion' i.e., v² = u² + 2aS

<em>So, When all quantities are in S.I. unit then,
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putting the values in the equation of motion,

<em /><em>As we have to carry out the distance covered,
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Putting values in derived equation,
⇒ <em>S = </em>\frac{ (32.8)^{2} - (4.5)^{2} }{2*(5.1)}
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The total distance covered in that given condition is approx. 103.289 m.</em>
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