Quickly please I have like 7 minutes of class

Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was

Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = $x$ units/hr

Let the original time taken by Jonathan = $y$ hours

Let the distance = $D$ units

Formula for distance is given as:

$Distance = Speed \times Time$

Given that half the distance is covered by original speed.

$\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)$

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

$\dfrac{5}{4}x\ units/hr$

Hence, Time taken:

$\dfrac{y}{2}-\dfrac{1}{2}$

Distance traveled is half of the total distance:

$\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)$

Dividing (1) by (2):

$\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours$

5 0

2 years ago

Tim and Dan were playing football against Jason and Luke.Touchdowns are worth 7 points .Tim and Dad scored 4 touchdowns. Jason a

makkiz [27]

Answer:

35, if Tim and Dan scored 4 together, 7 if each scored 4 touchdowns

6 0

2 years ago

White alphabet used to denote matrix and its element with example

Oksanka [162]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

A man on the fifth floor of a building shouts down to a person on the street. If the angle of elevation from the street to the m

AleksandrR [38]

Answer: 57 ft

Step-by-step explanation: Because drawing it up, we can make a right angled triangle with the right angle between the height of the man in the building and the distance out from the building of the man in the street, and the 35 degrees between the line connecting the man in the street with the man in the building, and the line out from the building of the man in the street. Then, tan of the 35 degree angle is = to opposite (40ft)/adjacent (to solve for). By cross multiplication, the A or adjacent (dist out from the building) = 40/0.7 (0.7 = tan of 35 degrees) so the answer is 57 ft.

3 0

2 years ago

Read 2 more answers

P (-2,6), Q (9,6), R (7, -1), S (-4, -1) are the vertices of a quadrilateral.

vova2212 [387]

Step-by-step explanation:

Parallelogram

Reflect y=-1 ;x changes sign

6 0

2 years ago