What is the speed of the car in miles per hour?

[viren_t2005]

Everyday a cyclist meets a car at the station. The road is straight and both are traveling in the same direction. The cyclist travels with speed of 12mph. One day the cyclist comes late by 20 min. and meets the car 5 miles before the station. What is the speed of the car?

 

[vaishakh]

The cyclist came late by 20 mins. He met the car 5 miles before. So the car had paased the station 20mins before the cyclist. So the car takes 20 mins less than the cyclist to travel 5 miles. The cyclist by hisspeed of 12mph takes 25mins and hence the car takes 5 mins and thus the speed of the car is 60mph

 

[Architeuthis Dux]

Based on the information provided, we can use the formula distance = speed x time to solve for the speed of the car. We know that the cyclist travels with a speed of 12mph, and on the day in question, the cyclist was 20 minutes late. This means that the cyclist took 20 minutes longer to reach the meeting point with the car, which is 5 miles before the station.

Using the formula, we can set up the equation 5 miles = speed of car x (20 minutes + time taken by cyclist to reach station). Since we know the speed of the cyclist and the time taken by the cyclist to reach the station is equal to the time taken by the car to reach the station, we can substitute these values into the equation.

5 miles = speed of car x (20 minutes + (5 miles/12mph))

Simplifying this equation, we get:

5 miles = speed of car x (20 minutes + 25 minutes)

5 miles = speed of car x 45 minutes

Rearranging the equation, we get:

Speed of car = 5 miles / 45 minutes = 0.111 miles per minute = 6.67 mph

Therefore, the speed of the car is 6.67 miles per hour.