Question

ashley drove to her father's house, which was 164 miles away. It took her 2 hours to get there. After seeing her father for 2 hours, she went to her cousin's house to stay overnight, which was 125 miles from her father's house. How many minutes does it take Ashley to get to her cousin's if she drives the same speed as when she went to her father's? Do not include units in your answer and round to the nearest hundredth. Example, if answer is 19.546 minutes, put 19.55.

Answer 1

Time Spent = 91.46 minutes

Explanation:

Given

To Her Father's house

Distance = 164 miles

Time Taken = 2 hours

To Her Cousin's house

Distance = 125 miles

Required

Time Taken to get to her cousins house.

First, her average speed to her father's house needs to be calculated.

Speed is calculated as thus;

`Speed = (Distance)/(Time)`

In this case, Distance = 164 miles and Time = 2 hours

Substitute these values;

`Speed = (164 miles)/(2 hours)`

`Speed = 82miles/hour`

It's stated in the question that; she maintains the same speed when going to her cousin's residence to spend the night;

Using the same formula for speed;

`Speed = (Distance)/(Time)`

But in this case, Speed = 82 miles/hour and Distance = 125 miles

Substitute these values

`82 = (125)/(Time)`

Multiply both sides by Time

`82 * Time = (125)/(Time) * Time`

`82 * Time = 125`

Divide both sides by 82

`(82 * Time)/(82) = (125)/(82)`

`Time = (125)/(82) hours`

To convert this time to minutes

If 1 hour = 60 minutes

Then,

`(125)/(82) hours` is equivalent to
`(125)/(82) * 60 minutes`

Hence,

`Time = (125)/(82) * 60 minutes`

`Time = 91.463415 minutes`

`Time = 91.46 minutes` (Approximated)

Hence, she spends 91.46 minutes to get to her cousin's place from her father's house