If Rickson goes to work it takes him 10 minutes longer to ride his bike, compared to driving his car.Given that he drives at 40 km/h, and bikes at 20 km/h, what is the time (in minutes) it takes to get to Rickson’s workplace by bike?A60B40C20D10

To solve this problem, we first need to find out the distance to Rickson's workplace. We know that the time difference between driving and biking is 10 minutes, which is equivalent to 1/6 of an hour.

Step 1: Find the distance to Rickson's workplace when he drives. We know that speed = distance/time. Therefore, distance = speed * time. When Rickson drives, his speed is 40 km/h and the time is unknown. Let's denote the time it takes for Rickson to drive to work as T (in hours). So, the distance to his workplace is 40T.

Step 2: Find the time it takes for Rickson to bike to work. We know that the time it takes for Rickson to bike to work is 10 minutes longer than the time it takes for him to drive. In hours, this is T + 1/6. We also know that distance = speed * time. When Rickson bikes, his speed is 20 km/h. So, the distance to his workplace is also 20(T + 1/6).

Step 3: Since the distance to Rickson's workplace is the same whether he drives or bikes, we can set the two distances equal to each other and solve for T. So, 40T = 20(T + 1/6). Simplifying this equation gives T = 1/6.

Step 4: Convert T from hours to minutes. T = 1/6 hour = 10 minutes.

Step 5: Find the time it takes for Rickson to bike to work. This is T + 10 minutes = 20 minutes.

So, the answer is C20.