Question

ONLY FBI CAN SOLVE::
It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend's village from Lucas' house?

Answer 1

Speed = distance / time

Distance = speed x time

3 hours + 1.5 hours = 4.5 hours
4.5 hours

Distance = 4.5 x 5 = 22.5 miles away

Answer 2

Answer:

45 miles

Explanation:

its takes him 3 hrs to cycle from his house to Lucas's house.

Lets say x represents speed

and y represents time

speed=distance divided by time

x=3/y

But is he travels 3mph slower, it takes him 1.5 hrs longer

so the equation is now:

x-3=3/y-1.5

or

$(x-3)/3=y-1.5$

and if we do that.....

we use those two equations to solve.

$(3y-3)/3=y-1.5$

And I got y=1.5

And if y equals 1.5, we can solve for x

X=45

Lucas's friend's house was 45 miles from his