find the distance?

Question

A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in Sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot?

with clear stpes plz..

Answer 1

If he goes out on any day which is not a Sunday - which your question suggests - then he can do 8 hrs at 30 mph = 240 miles.
RoyS

Answer 2

We are going to be using the simplest formula:
speed = distance / time

t1 and t2 be the time taken to go and come back home respectively.

distance 's' that he will travel is going to be same.

v1=40m/hr and v2=30m/hr

time = distance / speed

thus,

t1 = s / 40 ...........(1)
t2 = s / 30 ...........(2)

also said that, t1 + t2 = 8 ... not more than that .........(3)

we can thus say that:
After substituting (1) and (2) in (3)
we get,

s/40 + s/30 = 8
s(7/120) = 8
s = (8 X 120) / 7
s = 137.14 m

the picnic spot he selects should be within 137.14 meters.

Answer 3

8 hours time 30 miles per hour is 240 miles. If the person goes farther than that, won't be able to drive home Sunday in 8 hours.

Answer 4

30 m/h is your bottle neck here and should be use as your calculation point. 40m/h is just a black hole for you to step on it. so.. don't use 40m/h

Well,the picnic spot shall be 30m/h x 8 = 240m away from the house.

Just curious....
My dad as old as 85 years old takes him only 0.5 hour for 240 meter journey.... How can a weekend trip using 8 hours to reach 240m????

Answer 5

It looks like this might be a homework question. Please feel free to read the assigned material. Then, if you are still uncertain, post your thoughts on-line and we'll help you fine tune them.

Answer 6

we wont answer for you... plug in the dist. formula d=radical over (x2-x1)^2+ (y2-y1)2