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1 answer:
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Answer:
1 hour
Step-by-step explanation:
The distance covered by each of the two vehicle can be written as
where
d is the distance covered
v is the speed of the vehicle
t is the time elapsed
For the bus, the speed is
So the distance covered by the bus in a time t is
(1)
The kids in the bus took 3 hours to reach the camp,
t = 3 h
So the distance between the school and the camp is:
For the truck, the speed is
So the distance covered by the truck in a time t is
(2)
Since the distance to cover is 180 miles, the time taken by the truck is
And so, the truck arrives
1 hour after the bus.
Answer:
y = 9
Step-by-step explanation:
Calculate the slope m of line k using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)
m = =
Given a line with slope m then the slope of a line perpendicular to it is
= -
The slope of line l is m = 3, thus slope of line k is
m = -
Equating the 2 slopes for line k
= -
( multiply both sides by - 3 )
y - 8 = 1 ( add 8 to both sides )
y = 9