Un ciclista A marcha a 24 Km/h y un ciclista B se desplaza a 6,8 m/s, Ambos están ubicados en un camino que tiene 4 Km de largo, pero el ciclista A está ubicado en el inicio del camino y el ciclista B está a 500 metros después. Conteste: a) Cuál de los dos ciclistas se desplaza a mayor velocidad b) Cuánto tiempo demora cada ciclista en llegar al extremo final del camino

(a) Cyclist A travels faster.

(b) The time taken by cyclists A and B is 10 minutes and 8.58 minutes respectively.

Explanation:

Given that the speed of cyclist A= 24 km/h

As 1 km = 1000 m and 1 hour= 3600 seconds.

So,

and the speed of cyclist B = 6.8 m/s.

The length of the road = 4 km=4000 m.

(a) Speed of cyclist A is 6.67 m/s which is more than the 6.8 m/s.

Hence, cyclist A travels faster.

(b) If d be the distance to be traveled and V be the speed, than the time, t, required is,

For cyclist A:

As A is located at the beginning of the road, he has to cover full length of the road.

So, the distance to be covered by cyclist A =4 km.

Hence, from equation (i), the time taken by cyclist A is

hour

minutes. [ as 1 hour = 60 minumes]

So, time taken by cyclist A is 10 minutes.

For cyclist B:

As B is located 500 meters later from the beginning of the road, he has to cover the remaining length of the road.

So, the distance to be covered by cyclist B =4000 m-500 m= 3500 m.

Hence, from equation (i), the time taken by cyclist B is

seconds

As 60 seconds= 1 minute.

So, t= 514.71/60 minutes = 8.58 minutes.

minutes. [ as 1 hour = 60 minumes]

So, the time taken by cyclist B is 8.58 minutes.

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