A car travelling at an average speed of 72 km/hr takes 9 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 8 minutes?
Question
A car travelling at an average speed of 72 km/hr takes 9 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 8 minutes?
Solution
Sure, here's how to solve the problem:
Step 1: First, we need to convert the time from minutes to hours because the speed is given in km/hr. So, 9 minutes = 9/60 = 0.15 hours and 8 minutes = 8/60 = 0.133 hours.
Step 2: Next, we calculate the distance travelled by the car using the formula distance = speed x time. So, the distance = 72 km/hr x 0.15 hr = 10.8 km.
Step 3: Now, we need to find out the speed required to travel the same distance in 8 minutes. We rearrange the distance formula to find speed = distance/time. So, the new speed = 10.8 km / 0.133 hr = 81.2 km/hr.
Step 4: Finally, we find out by how much the speed should be increased. So, the increase in speed = new speed - original speed = 81.2 km/hr - 72 km/hr = 9.2 km/hr.
So, the car should increase its speed by 9.2 km/hr to travel the same distance in 8 minutes.
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