epacker2005
contestada

If it takes Matthew an hour to get to his friends house, and two hours if he drives 25 mph slower, how far away does Matthews friend live?

Respuesta :

mathstudent55
speed = distance/time

distance = speed * time

d = st

Let distance = d; faster speed = s; t = time

At the faster speed:

d = s * t

d = s * 1

d = s

At the slower speed:

d = st

d = (s - 25)* 2

d = 2s - 50

We now have two equations,

d = s
d = 2s - 50

We can equate the right sides

s = 2s - 50

-s = -50

s = 50

The faster speed is 50 mph.
It takes him 1 hour at the faster speed.

d = st

d = 50 mph * 1 hr

d = 50 miles

Answer: the distance is 50 miles

Matthew's friend lives about 50 miles away from him.

The distance of a place is calculated by multiplying the speed by the time. The following can be deduced based on the information given:

Time taken = 2 hours

Speed = 25mph

Therefore, the distance will be:

= Speed × Time

= 25 × 2

= 50 miles

Therefore, Matthew's friend lives  about 50 miles away from him

Read related link on:

https://brainly.com/question/2327504

Otras preguntas