It took James 1 and 3/4 hrs to travel a distance of 126km in his car. Calculate his speed in km/h
Show workings bit by bit
To calculate James' speed, we need to use the formula:
Speed = Distance ÷ Time
We know that James traveled a distance of 126km and it took him 1 and 3/4 hours.
First, we need to convert the mixed number 1 and 3/4 to an improper fraction:
1 and 3/4 = (4 x 1 + 3) / 4 = 7/4
So, James' time in hours is:
1 and 3/4 hours = 7/4 hours
Now we can substitute the values into the formula:
Speed = Distance ÷ Time
Speed = 126km ÷ 7/4 hours
To divide by a fraction, we can multiply by its reciprocal:
Speed = 126km x 4/7 hours
Speed = 72km/h
Therefore, James' speed was 72km/h.
To calculate James's speed in km/h, we need to divide the distance he traveled by the time it took.
1. Convert the mixed fraction of 1 and 3/4 hours to an improper fraction:
1 + 3/4 = (4/4 + 3/4) = 7/4 hours
2. Divide the distance by the time:
Speed = Distance / Time
= 126 km / (7/4) hrs
3. To divide by a fraction, we can multiply by its reciprocal:
Speed = 126 km / (7/4) hrs * (4/7) hrs
= (126 km * 4) / (7 * 1) km/h
= 504 km / 7 km/h
4. Simplify the fraction by canceling out the common factor of 7:
Speed = 504 / 7 km/h
= 72 km/h
Therefore, James's speed in km/h is 72 km/h.
To calculate James' speed in km/h, we need to know the formula for speed: Speed = Distance / Time.
Step 1: Convert the time to decimal form.
First, we need to convert 1 and 3/4 hours into decimal form. To do this, we add 1 to 3/4, which gives us 7/4. So, James traveled for 7/4 hours.
Step 2: Divide the distance travelled by the time taken.
We can now calculate James' speed by dividing the distance he traveled (126 km) by the time he took (7/4 hours).
Division: 126 km / (7/4) hours
To divide by a fraction, we can multiply by the reciprocal of that fraction.
Reciprocal of 7/4: 4/7
So, the division becomes: 126 km * (4/7)
Step 3: Simplify the division.
Multiply the numerator and denominator:
126 km * 4 = 504 km
7
504 km / 7 = 72 km/h
Therefore, James' speed is 72 km/h.