Miguel can drive four times as fast as Pablo can ride his bicycle if it takes Pablo three hours longer than Miguel to travel 72 miles how fast in miles per hour can Pablo ride his bicycle

Respuesta :

Answer: Pablo rides his bicycle at 18 mph

Step-by-step explanation:

Let x represent the speed at which Pablo rides his bicycle.

Miguel can drive four times as fast as Pablo can ride his bicycle. This means that the speed at which Miguel drives his car is 4x

Time = distance/speed

The time it takes Pablo to cover 72 miles is

72/x

The time it takes Miguel to cover 72 miles is

72/4x = 18/x

if it takes Pablo three hours longer than Miguel to travel 72 miles, it means that

72/x - 18/x = 3

Multiplying through by x, it becomes

72 - 18 = 3x

3x = 54

x = 54/3

x = 18 mph

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