Mathematics, 31.01.2021 21:00, JorgeW5St

The distance between New Orleans and Houston is 353 miles. At 12:20 PM, a bus leaves Houston for New Orleans at a speed of 60 mph. Forty-five minutes later, a
motorcycle leaves New Orleans for Houston at a speed of 72 mph. At what time will
the bus and the motorcycle pass each other if neither stops nor changes speed?

Answers: 3

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Answers

answered: elawnnalewis7486

Both the bus and the motorcycle are driving opposite to each other.

From the given data, the time at which both the bus and the motorcycle will pass each other is 3:25 PM

Given that:Distance between New Orleans and Houston = 353 miles.Bus leaves Houston for New Orleans at 12:20 PM.Speed of bus = 60 mphAfter 45 minutes, the motorcycle leaves New Orleans for Houston at 72 mph.To find:

The time at which both the motorcycle and the bus will pass each other.

Calculations:

Let after t hour from the time when motorcycle starts, they both meet.

Then we have:

353 miles = 45 minute traveled by bus + distance traveled by bus in t hour + distance traveled by motorcycle in t time.

Since 45 minutes is three fourth of an hour, thus:

Distance traveled by bus in 45 minutes is calculated as:

$D_{Bus}(45 \:\rm min) = 60 \times \dfrac{3}{4} \: \rm miles = 45 \: \rm miles$

Distance traveled by bus in t hours is:

$D_{Bus}(t \: \rm hours) = 60 \times t \: \rm miles = 60t \: \rm miles$

Distance traveled by motorcycle in t hour is:

$D_{motorcycle}(t \: \rm hours) = 72 \times t \: \rm miles = 72t \: \rm miles.$

Thus, we have:

$353 = 60t + 72t + 45\\\\308= 132t\\\\t = \dfrac{308}{132}\\\\t= \dfrac{7}{3}\: \rm hours\\\\t=2 \: \rm hours + 20 \: \rm minutes$

Thus, time at which they meet was 12:20 PM + 45 minutes + 2 hours + 20 minutes = 3:25 PM

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answered: kbruner20

3:25 pm

Step-by-step explanation:

The distance between New Orleans and Houston is : 353 miles

Departure time of the bus : 12:20 pm

Speed of the bus: 60 mph

After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles

Distance remaining to cover = 353-45 = 308 miles

Speed of the motorcycle = 72 mph

Relative speed = 60 + 72 = 132 mph

Time the two will meet = 308 / 132 = 7/3 hrs

7/3 hrs = 2 hrs 20 minutes

Time the two will meet is ;

12:20 pm + 45 minutes + 2 hrs 20 minutes

= 3:25 pm

answered: Guest

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answered: Guest

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180

same as (2x + 16) + (x) = 180

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The distance between New Orleans and Houston is 353 miles. At 12:20 PM, a bus leaves Houston for Ne...