Question

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?

A. 3

B. 2

C.11
_
2

Answer 1

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?

Answer:

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

Solution:

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.

`(2)/(3) r d \text { of total distance }=(2)/(3) * 360=240`

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

`speed = (distance)/(time)`

`speed = (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 = (distance)/(speed)\\\\time taken = (120)/(60) = 2`

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