Mathematics, 02.10.2019 13:20 zay65307

Heather left the hospital and drove toward the desert at an average speed of 35 km/h. danielle left sometime later driving in the opposite direction with an average speed of 50 km/h. after heather had driven for four hours they were 290 km apart. how long did danielle

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Answer from: crismelycalderon1904

Danielle drove 3 hours

Step-by-step explanation:

Suppose Heather moved in the x direction.

Then Danielle moved in the opposite direction, that is, she moved in the -x direction.

Let's call V_1 , x_1 , t_1 at the speed, distance and time that I code Heather

Let's call V_2 , x_2 , t_2 at the speed, distance and time Danielle codes.

Observe the following diagram:

(x) Heather <------ x_1 --------- hospital ---------- x_2 -----------> Danielle (-x)

So:

$V_1 = 35\ km/h$

$t_1 = 4\ h$

$V_2 = 50\ km/h$

We know that after 4 hours the distance between Heather and Danielle was 290 km.

That is to say:

$x_2 + x_1 = 290\ km/h$

We know that x_1= v_1t_1

x_1 = 35(4)

$x_1 = 140\ km$

We already know x_1 , the distance from the hospital to Heather, so we can find x_2 and thus know t_2

So:

$x_2 = 290 - 140\\\\x_2 = 150\ km$

Then:

$t_2 = \frac{x_2}{v_2}\\\\t_2 = \frac{150}{50}\\\\t_2 = 3\ h$

Answer from: khaekhae10

Danielle travelled for 3 hours

Distance travelled by Danielle: 150km

Step-by-step explanation:

We are asked to find out the time that Danielle travelled and the distance travelled by her.

Average Speed of Heather, v = 35 km/hr

Time that Heather travelled, t = 4hr

Distance travelled by Heather, s(heather) = v * t = 35 * 4 = 140 km

Now we are also given the total distance travelled by them which is 290 km

Total Distance, s(total) = 290km

Distance travelled by Danielle would be equal to Total distance minus Distane travelled by Heather

s(Danielle) = s(total) - s(heather)

= 290 - 140 = 150 km

Time travelled by Danielle would be calculated then:

Speed of Danielle = 50 km/hr

t = $\frac{s}{v} = \frac{150}{50} = 3 hrs$

Answer from: Quest

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

Answer from: Quest

answer: 819.89 miles across america

step-by-step explanation:

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Heather left the hospital and drove toward the desert at an average speed of 35 km/h. danielle left...

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