Elijah has already sold $40 worth of tickets for
a local raffle. he has 5 tickets left to sell at $5 per
walking speed = 2 mph.
running speed = 8 mph.
let her walking speed be x mph, then her running speed is x + 6 mph
speed = distance / time. take the first 1 1/2 hours:
x + 6 = y / 1.5 where y = distance travelled in that time
x + 6 = 2y / )
and the last 3 hours:
x = z / (2) where z = distance travelled in that time.
also we have the equation:
y + z = )
substitute x = z/3 into equation (i):
z/3 + 6 = 2y/3
multiply through by 3:
z + 18 = 2y
2y - z = 18 )
y + z = ) adding these 2 equations:
3y = 36
y = 12 miles,
so z = 18 - 12 = 6 miles.
now find the value of x:
from equation (2):
x = z/ 3
= 2 mph.
therefore running speed = 2 + 6 = 8 mph.
distribute the 2
8y -2y -8
combine like terms
a local raffle. he has 5 tickets left to sell...