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Andrew [12]
3 years ago
13

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.   How many more hours  does Liza have to drive?

<em><u>Answer:</u></em>

Liza need to drive 2 more hours to reach her sister house

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

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240

So Liza has covered 240 miles in 4 hours

Let us find the speed

<em><u>The relation between distance and speed is given as:</u></em>

speed = \frac{distance}{time}

speed = \frac{240}{4} = 60

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2

Thus Liza need to drive 2 more hours to reach her sister house

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