Answer:
Charlie 55 miles per hour
Violet 65 miles per hour
Step-by-step explanation:
Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Since, Charlie left Memphis and drove towards New Orleans, and Violet left New Orleans and drove towards Memphis, the total distance that they covered altogether is the total distance between Memphis and New Orleans.
It is given that the distance between Memphis and New Orleans is 394 miles. This means, the total distance both covered = 394 miles
Charlie drove for 4.8 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour
Since, distance = speed multiplied by time
Distance covered by Charlie = 4.8x
Distance covered by Violet = 2(x + 10)
Altogether they covered 394 miles,
So,
394 = Distance covered by Charlie + Distance covered by Violet
394 = 4.8x + 2(x + 10)
394 = 4.8x + 2x + 20
374 = 6.8x
x = 55
Since, x represents the speed of Charlie, the speed of charlie was 55 miles per hour and speed of Violet was 65 miles per hour
