A farmer cycled from his compound to the market at an average speed of 12km per hour. If he took 40 minutes for the journey, how many kilometers is the market from the compound?
We know that speed is equal to distance divided by time.
In this case, the speed is 12 km/h and the time is 40 minutes, which is equal to 40/60 = 2/3 hours.
So, distance = speed × time
= 12 × 2/3
= 8 km.
Therefore, the market is 8 kilometers from the compound. Answer: \boxed{8}.
To find the distance from the compound to the market, we can use the formula:
Distance = Speed * Time
First, let's convert the time from minutes to hours. Since there are 60 minutes in an hour, 40 minutes is equal to 40/60 = 2/3 hours.
Now, we can substitute the given values into the formula:
Distance = 12 km/h * 2/3 h
Simplifying the equation:
Distance = (12 * 2)/(3 * 1) km
Distance = 24/3 km
Distance = 8 km
Therefore, the market is located 8 kilometers from the farmer's compound.
To find the distance from the compound to the market, we can use the formula:
Distance = Speed x Time
First, let's convert the time from minutes to hours. Since there are 60 minutes in an hour, 40 minutes is equal to 40/60 = 2/3 hours.
Now, we have the speed (12 km/h) and the time (2/3 hours), so we can calculate the distance:
Distance = 12 km/h x 2/3 h
To multiply fractions, we multiply the numerators and the denominators:
Distance = (12 x 2) km / (3 x 1) h
Simplifying, we get:
Distance = 24 km / 3 h
Dividing 24 km by 3, we find that:
Distance = 8 km
Therefore, the market is 8 kilometers away from the compound.