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Len [333]
3 years ago
7

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 mile

s. If car A travels 20 mph faster than car B, how fast (in mph) is car B traveling? (Enter an exact number.)
Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

The speed of car B is 50 mile per hour

Step-by-step explanation:

Given as :

The Distance travel by car A = 175 miles

The Distance travel by car B = 125 miles

The Time taken by both car A and B is same = T hours

Let The speed of car B = S mile per hour

So, The speed of car A = ( S + 20 ) mile per hour

Now, Time = \frac{Distance}{Speed}

So , For Car A ,

T = \frac{175}{(S + 20 )}

For Car B ,

T = \frac{125}{(S}

So, \frac{175}{(S + 20 )}  = \frac{125}{(S}

Or, 175 × S = 125 × ( S + 20 )

Or, 175 S - 125 S = 125 × 20

Or, 50 S = 2500

∴  S = \frac{2500}{(50}

I.e S = 50 mph

And S + 20 = 50 + 20 = 70 mph

The speed of car A = 70 mph

The speed of car B = 50 mph

Hence The speed of car B is 50 mile per hour  Answer

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