MATH SOLVE

3 months ago

Q:
# Car A and car B are traveling at different speeds. Car A can travel 175 miles in the same time it takes car B to travel 125 miles. If car A travels 20 mph faster than car B, how fast (in mph) is car B traveling? (Enter an exact number.)

Accepted Solution

A:

Answer:The speed of car B is 50 mile per hourStep-by-step explanation:Given as :The Distance travel by car A = 175 milesThe Distance travel by car B = 125 milesThe Time taken by both car A and B is same = T hoursLet The speed of car B = S mile per hourSo, The speed of car A = ( S + 20 ) mile per hourNow, Time = [tex]\frac{Distance}{Speed}[/tex]So , For Car A , T = [tex]\frac{175}{(S + 20 )}[/tex] For Car B ,T = [tex]\frac{125}{(S}[/tex] So, [tex]\frac{175}{(S + 20 )}[/tex] = [tex]\frac{125}{(S}[/tex] Or, 175 × S = 125 × ( S + 20 )Or, 175 S - 125 S = 125 × 20Or, 50 S = 2500∴ S = [tex]\frac{2500}{(50}[/tex] I.e S = 50 mphAnd S + 20 = 50 + 20 = 70 mph The speed of car A = 70 mph The speed of car B = 50 mphHence The speed of car B is 50 mile per hour Answer