1. Uniform Motion – Day 2
Two bicyclists started at the same time from towns 84
km apart and rode toward each other. Because one
of them rode downhill, his speed was twice as great
as that of the other. Find both speeds if they meet
after two hours.
R x T = D
2. Uniform Motion – Day 2
A truck and a car travel the same route, the truck at
72 km/h, and the car at 80 km/hr. If the car leaves 1
hour after the truck, how long does it take the car to
overtake the truck?
R x T = D
3. Uniform Motion – Day 2
On a roundtrip to work, Jan traveled at an average
speed of 35 mi/h going and 40 mi/h coming back over
the same route. If the entire trip took 2 ½ hours, how
far does Jan live from her work?
R x T = D
6. Consecutive Integers are whole
numbers (both positive and negative)
that are “in order” - one right after the
other.
Example : -3, -2, -1
7 ,8, 9, 10
7. There can also be Consecutive Even
and Consecutive Odd Integers.
Examples: 2, 4, 6, 8 (evens)
-3, -1, 1, 3 (odds)
8. If “x” is the first integer, name the next
three integers after “x”
x + 1, x + 2, x+ 3
What are the three integers “preceding”
x?
x-1, x-2, x-3
9. If n is even, name the next three even
integers after n.
n + 2, n +4, n + 6
If n is ODD, name the next three odd
integers after n
n+ 2, n + 4, n + 6
10. Find two consecutive integers whose
sum is 33.
x = 1st, x + 1 = 2nd
x + x + 1 = 33
2x + 1 = 33
2x = 32
X = 16, x + 1 = 17
11. Find three consecutive integer whose
sum is -9.
x = -4, x + 1 = -3, x + 2 = -2
12. Find four consecutive even integers
whose sum is 116.
26, 28, 30, 32
13. The sum of the least and greatest of
three consecutive integers is 50. What
is the middle integer?
25 ( 24, 25, 26)
14. The larger of two consecutive integers is
10 greater that twice the smaller. Find
the two integers.
-9, -8
15. Find three consecutive odd integers
such that the sum of the largest and
twice the smallest is 25.
7, 9, 11
16. Find four consecutive integers such that
the sum of the two largest subtracted
from twice the sum of the two smallest is
15.
9,10,11,12
