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ivolga24 [154]
3 years ago
6

Ending time is 10:08 am. Elapsed time 30 min

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0
10:38 am ...........
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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

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3 years ago
Quadrilaterals Graphic Organizer
Taya2010 [7]

#Trapezoid

  • One pair of opposite sides of parallel
  • All angles are unsimilar and sum of angles are 360°.

#Parallelogram

  • Two pair of opposite sides are parallel and same.
  • Sum of opposite angles is 180°.

#Rhombus.

  • All sides are same
  • Sum of opposite angles are 180

#Rectangles:-

  • Opposite sides are parallel and same.
  • All angles are 90°.

#Square:-.

  • All sides are same.
  • all angles are same and 90°
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3. Find the balance of a savings account at the end of 15 years if the interest
mr Goodwill [35]

Answer:

The balance of the savings account in 15 years will be $1,750.24.

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Jack has $24 in one-dollar and five- dollar bills. He has a total of 8 bills. How many of each bill does he have?​
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He has 4 $5 bills and 4 $1 bills
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A fair coin is flipped 50 times
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1/2 so that would be about 25 times heads show.
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