Question

A red kite is 140 feet off the ground and is rising at 7 feet per second. A blue kite is 315 feet off the ground and is rising at 4 feet per second. Determine how long will it take for the red and blue kites to be the same height. Round your answer to the nearest tenth of a second

Answer 1

58 seconds

Explanation:

Given the following :

Elevation of red Kite = 140 ft off the ground

Rising rate = 7 feets per second

Elevation of blue Kite = 315 feets

Rising rate of blue Kite = 4 feets per second

Determine how long will it take for the red and blue kites to be the same height.

Let number of seconds = t

Red Kite = 140 + 7t

Blue Kite = 315 + 4t

Red Kite = Blue Kite

140 + 7t = 315 + 4t

7t - 4t = 315 - 140

3t = 175

t = 175/3

t = 58.333

t = 58s (nearest tenth(