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Scrat [10]
2 years ago
14

Bus A and Bus B leave the bus depot at 6 pm. Bus A takes 20 minutes to complete its route once and bus B takes 45 minutes to com

plete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together? Assume the buses have no breaks in between routes. Give your answer as a 12-hour clock time
Mathematics
1 answer:
UNO [17]2 years ago
8 0
Bus Bs route times will be:

45 mins
90 mins
135 mins
180 mins

Bus As times will be:

20 mins
40 mins
60 mins
...
180 mins.

Therefore 180 mins is the common factor, which is 9pm
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I'm learning about Equivalent systems of equations, please help!
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OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
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Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
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Substitute x into the next equation and solve for y
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(multiply both sides by 2)
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TEACHER'S ANSWER (-20,-6)


GOKU
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Do the same as above
Solve for x
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GOKU'S ANSWER (31, 11)

SELINA:
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One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
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48-42y+45y=60
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3y=12
y=4

x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)

So neither Goku or Selina got the same answer as the teacher
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