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4 years ago

Solve Applications involving Uniform Motion

Mathematics

2 answers:

tamaranim1 [39]4 years ago

8 0

Answer: The speed of her walking is 4 mph and the speed of her jogging is 6 mph.

Step-by-step explanation:

Since we have given that

Time taken by Lorena to walk the path = 30 minutes

Time taken by Loren to jogs the path = 20 minutes

Let the speed of her walking be 'x'.

Let the speed of her jogging be 'x+2'.

Since distance would remain same, so it becomes,

$30x=20(x+2)\\\\30x=20x+40\\\\30x-20x=40\\\\10x=40\\\\x=\dfrac{40}{10}\\\\x=4\ mph$

Hence, the speed of her walking is 4 mph and the speed of her jogging is 6 mph.

SCORPION-xisa [38]4 years ago

4 0

Answer:

6mph and 4mph

Step-by-step explanation:

because 2:3 is some as 3x:x in terms of speed

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3 years ago

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2 years ago

A town has accumulated 5 inches of snow, and the depth is increasing by 6

satela [25.4K]

Answer:

Therefore, after 1 hour and 20 minutes, the snowfall in both cities was equal to 13 inch.

Step-by-step explanation:

Calculating the depth of First Town:

First town has accumulated 5 inches of snow.

As the depth is increasing by 6 inches every hour

i.e. 6 inch = 1 hour

so the depth increase after 45 minutes i.e. 3/4 hour = 4.5 inch

After 45 minutes

Snow level of First town after 45 min = 4.5 + 5 = 9.5 inch

After 1 hour

Snow level of First town after 1 hour = 5 + 6 = 11 inch

After 1 hour and 20 minutes

5 + 6 + 2 = 13 inch ∵ If 6 inch per hour, then 2 inch in 20 min

Calculating the depth of Second Town:

Second town has accumulated 9 inches of snow.

As the depth is increasing by 3 inches every hour.

i.e. 3 inch = 1 hour

so the depth increase after 45 minutes i.e. 3/4 hour = 2.25 inch

After 45 minutes

Snow level of Second town after 45 min = 9 + 2.25 = 11.25 inch

After 1 hour

Snow level of Second town after 1 hour = 9 + 3 = 12 inch

After 1 hour and 20 minutes

Snow level of Second town after 1 hour and 20 minutes

9 + 3 + 1 = 13 inch ∵ If 3 inch per hour, then 1 inch in 20 min

From the above observation, it is clear that after 1 hour and 20 minutes the snowfall in both cities was equal.

Therefore, after 1 hour and 20 minutes, the snowfall in both cities was equal to 13 inch.

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3 years ago

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trapecia [35]

Answer:

let x be a point and join point c

when XC // AL // BK

∠LAC+∠ACX = 180 (int. angle, XC//BK)

∠ACX = 60

then ∠ACX + ∠BCX = 80

∠BCX = 80 - 60 = 20

∠BCX + ∠B = 180 (int. angle, XC//BK)

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3 years ago

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lesya692 [45]

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Step-by-step explanation:

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4 years ago