Question

Two cars travel at the same speed to different destinations. Car A reaches its destination in 15 minutes. Car B reaches its destination in 35 minutes. Car B travels 15 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.

Answer 1

Answer:

The cars are travelling ar the speed 45 mph.

Step-by-step explanation:

Let the two cars are moving at the speed of x mph.

Now, Car A reaches its destination in 15 minutes i.e. $\frac{15}{60} = 0.25$ hours.

Therefore, Car A travels in 15 minutes by 0.25x miles.

Again, Car B reaches its destination in 35 minutes i.e. $\frac{35}{60} = 0.583$ hours.

Therefore, Car B travels in 35 minutes by 0.583x miles.

Given that, (0.583x - 0.25x) = 15

⇒ 0.333x = 15

⇒ x = 45 mph

Therefore, the cars are travelling ar the speed 45 mph. (Answer)