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Amanda [17]
3 years ago
7

the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning

what is the next time they will leave at the same time
Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

1 pm

Step-by-step explanation:

We have to find their LCM, or least common multiple

Multiples of 36: 36, 72, 108, 144, 180, 216, ......

Multiples of 45: 45, 90, 135, 180, ....

180 mins is their LCM.

180 mins = 3 hours

10am + 3hours = 1 pm

-Chetan K

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

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  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

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<u>Step 2: Find roots</u>

  1. Substitute:                    x=\frac{4\pm\sqrt{(-4)^2-4(-4)(-9)} }{2(-4)}
  2. Exponents:                   x=\frac{4\pm\sqrt{16-4(-4)(-9)} }{2(-4)}
  3. Multiply:                        x=\frac{4\pm\sqrt{16-144} }{-8}
  4. Subtract:                       x=\frac{4\pm\sqrt{-128} }{-8}
  5. Factor:                          x=\frac{4\pm \sqrt{-1} \cdot \sqrt{128} }{-8}
  6. Simplify:                       x=\frac{4\pm 8i\sqrt{2} }{-8}
  7. Factor:                          x=\frac{4(1\pm 2i\sqrt{2}) }{-8}
  8. Divide:                          x=\frac{1\pm 2i\sqrt{2}}{-2}
  9. Expand:                        x=\frac{-1}{2} \pm \frac{-2i\sqrt{2} }{2}
  10. Simplify:                        x=\frac{-1}{2} \pm -i\sqrt{2}
  11. Evaluate:                      x=-0.5 \pm -i\sqrt{2}
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