Question

Guliskhan plans to cover a certain distance by running and bicycling. She runs at a constant speed, and she bicycles at a speed of 777 meters per second. Let R represent the number of seconds that Guliskhan runs and B represent the number of seconds that she bicycles according to her plan. 3R+7B≥1000. According to the inequality, at what speed does Guliskhan run, and what is the minimum distance that she plans to cover? Guliskhan runs at a speed of m/s, and plans to cover a minimum distance of meters. Can Guliskhan cover this minimum distance if she runs for 60 seconds and bicycles for 90 seconds?

a. Speed: 111 m/s, Distance: 900 meters, Yes
b. Speed: 222 m/s, Distance: 1200 meters, No
c. Speed: 333 m/s, Distance: 1500 meters, Yes
d. Speed: 444 m/s, Distance: 1800 meters, No

Answer 1

To find Guliskhan's running speed and minimum distance, solve the inequality using the given values. Guliskhan can cover the minimum distance if she runs for 60 seconds and bicycles for 90 seconds. Therefore, the correct answer is a. Speed: 111 m/s, Distance: 900 meters, Yes.

Step-by-step explanation:

To find Guliskhan's running speed and minimum distance, we need to solve the given inequality and then substitute the values for R and B. The inequality is 3R + 7B ≥ 1000. Let's assume Guliskhan runs for 60 seconds (R = 60) and bicycles for 90 seconds (B = 90). Substituting the values into the inequality, we get 3(60) + 7(90) = 180 + 630 = 810, which is less than 1000. So, Guliskhan can cover this minimum distance. Therefore, Guliskhan's running speed is 111 m/s, and the minimum distance she plans to cover is 900 meters. So, the correct answer is a. Speed: 111 m/s, Distance: 900 meters, Yes.