4

Part of 2022 LMT Spring

Problems(2)

2022 Spring LMT Team 4

Source:

Jeff has a deck of

12

4

L

4

M

4

T

s. Armaan randomly draws three cards without replacement. The probability that he takes

3

L

s can be written as

\frac{m}{n}

m

n

are relatively prime positive integers. Find

m +n

2022 LMT Spring Accuracy Problem 4

Source:

Kevin runs uphill at a speed that is

4

meters per second slower than his speed when he runs downhill. Kevin takes a total of

80

seconds to run up and down a hill on one path. Given that the path is

300

meters long (he travels

600

meters total), find how long Kevin takes to run up the hill in seconds.