Two cars, A and B, are traveling at speed 60km/h and 45km/h respectively. If car A is 12km behind car B. Assuming they maintain the same speeds, how long will it take(in minutes) for car A to overtake car B?
To find the time it will take for car A to overtake car B, we need to calculate the time it takes for car A to cover the distance of 12 km at the relative speed of 15 km/h (60 km/h - 45 km/h).
The time formula is distance divided by speed, so the time it takes for car A to cover the 12 km is 12 km / 15 km/h = 0.8 hours.
Converting 0.8 hours to minutes, 0.8 hours * 60 minutes/hour = 48 minutes.
Therefore, it will take 48 minutes for car A to overtake car B.
Karabo drives the 60km between Johannesburg and Pretoria at a speed of 120km/h. Mpho drives the same distance at a speed of 100km/h. How much longer does Mpho take to arrive at his destiny?
To find out how much longer Mpho takes to arrive at his destination compared to Karabo, we need to calculate the time it takes for each of them to cover the 60 km distance.
The time formula is distance divided by speed.
For Karabo, the time taken is 60 km / 120 km/h = 0.5 hours.
For Mpho, the time taken is 60 km / 100 km/h = 0.6 hours.
To find out how much longer Mpho takes, we subtract the time taken by Karabo from the time taken by Mpho: 0.6 hours - 0.5 hours = 0.1 hours.
Converting 0.1 hours to minutes, 0.1 hours * 60 minutes/hour = 6 minutes.
Therefore, Mpho takes 6 minutes longer to arrive at his destination compared to Karabo.
To find out how long it will take for car A to overtake car B, we need to calculate the time it takes for car A to cover the distance between them.
The relative speed between the two cars is the difference in their speeds, which is 60 km/h - 45 km/h = 15 km/h.
To cover the 12 km gap between the cars, it would take car A 12 km / 15 km/h = 0.8 hours.
To convert hours to minutes, we multiply by 60: 0.8 hours x 60 minutes/hour = 48 minutes.
Therefore, it will take car A 48 minutes to overtake car B.
To find the time it takes for car A to overtake car B, we first need to determine the relative speed between the two cars. Considering car A is traveling at 60 km/h and car B at 45 km/h, the relative speed between the two cars is the difference between their speeds, which is 60 km/h - 45 km/h = 15 km/h.
Since the relative speed represents the speed at which car A gains on car B, we can calculate the time it takes for car A to cover the 12 km distance between them by dividing the distance by the relative speed:
Time = Distance / Speed
Time = 12 km / 15 km/h
Now, let's convert the given time into minutes for convenience. There are 60 minutes in an hour, so:
Time = (12 km / 15 km/h) * (60 min/h)
Time = (4/5) * 60 min
Time = 48 min
Therefore, it will take approximately 48 minutes for car A to overtake car B.