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Tatiana [17]
2 years ago
15

a car travels at a speed of 80 km/h for 2½ hours from town P to town Q. Then the car increases its speed by 25% and maintains th

at speed for a further 150 km from town Q to town R. Calculate the average speed for the whole journey.
Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

So this is not too hard, as with any math problem we write what we know.

Starting speed: 80km/h
Time from P to Q: 2.5h
Increase in speed: 20km/h (25% is dividing by 4)
Distance from Q to R: 150 kilometers

So let's find the speed and distance for both legs of the trip.

Speed for P to Q: 80km/h
Distance from PtoQ: 200km (2.5h * 80km/h)
Speed from Q to R: 100km/h (80 +20)
Distance from QtoR: 150km.

Now we multiply the speeds by their respective distances add them and then divide by the total distance.

((80 *200) + (100 * 150))/350 = ~88.57143

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What is the measure of RCD in the figure below?
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7 0
2 years ago
5 7\10 × 7 4\16=????? I'm trash with multypliing ​
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9514 1404 393

Answer:

  41 13/40

Step-by-step explanation:

Generally, you're told to multiply mixed numbers by converting each to an improper fraction:

  5 7/10 = (5·10 +7)/10 = 57/10

  7 4/16 = (7·16 +4)/16 = 116/16

The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.

  (5\frac{7}{10})(7\frac{4}{16})=\dfrac{57}{10}\cdot\dfrac{116}{16}=\dfrac{57\cdot116}{10\cdot16}=\dfrac{6612}{160}\\\\=41+\dfrac{52}{160}=\boxed{41\frac{13}{40}}

__

You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).

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<em>Alternate solution</em>

You can also treat this as the product of two sums. The distributive property is handy for this.

  (5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)

  = 35 +5/4 +49/10 +7/40

  = 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts

  = 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator

  = 40 +53/40 = 41 13/40

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