Question

Martin and Alexia are rock climbing each person's rate stays the same for the first hour they climb mountain climbers 3 1/3 meters in the first one 1/6 hour . Alexia climbs 17 1/2 in the first 5/6 hour. Which statements are true? Choose all that apply A. Martin climbs at a rate of 20 meters per hour. B. Alexia takes 1/21 of an hour to climb 1 meter . C Martin climbs at a rate of 1/20 per hour. D . Alexia climbs at a rate of 21 meters per hour. E. Martin takes 1/21 of an hour to take climb 1 meter. F. Alexia climbs at a rate of 1/21 per hour.

Answer 1

1. If Martin climbs 3 1/3 meters in the first one 1/6 hour, then he climbs

$3\dfrac{1}{3}\cdot 6=\dfrac{10}{3}\cdot 6=20$ meters per hour. Then, option A is correct and options C and E are false.

2. If Alexia climbs 17 1/2 in the first 5/6 hour, then she climbs

$17\dfrac{1}{2}\cdot \dfrac{6}{5}=\dfrac{35}{2}\cdot \dfrac{6}{5}=21$ meters per hour and it takes Alexia $\dfrac{1}{21}$ of an hour to climb 1 meter. Then options B and D are correct and option F is false.

Answer: correct options are A, B and D.