A car drove for 43 miles per hour for 7 hours. How many miles are left if the entire trip is 400 miles?
Answer
568.5k+ views
Hint: Now we know that the speed if the car is 43 miles per hour. The car drove for 7 hours.
Hence we will calculate the distance covered by the car in 7 hours by the formula $\text{distance=speed}\times \text{time}$. Now the total distance of the trip is 400 miles hence we can easily find the distance remaining by subtracting the distance covered from the total distance.
Complete step-by-step answer:
Now we are given that a car drove 43 miles per hour.
Hence the speed of the car is 43mph.
Now we are given that the car drove for 7 hours.
We know that the formula for speed is $\text{speed=}\dfrac{\text{distance}}{\text{time}}$ .
Hence rearranging the terms we get $\text{distance=speed}\times \text{time}$ .
Now using this formula let us calculate the distance travelled by car in 7 hours at the speed of 43mph.
Hence we have $43\times 7=301$ .
Hence the distance travelled by the car is 301 miles.
Now the total journey of the trip is given by 400 miles.
Hence the distance remaining to cover is 400 – 301 miles.
Hence the distance remaining is 99miles.
Note: Now note that we can also use the formula to find the time needed to cover the distance.
Now let us say we want to find the time taken to cover the remaining 99 miles. Then we have $\text{time=}\dfrac{\text{distance}}{\text{speed}}$ . Hence using this we get the time taken to cover the remaining distance us $\dfrac{99}{43}$ hours.
Hence we will calculate the distance covered by the car in 7 hours by the formula $\text{distance=speed}\times \text{time}$. Now the total distance of the trip is 400 miles hence we can easily find the distance remaining by subtracting the distance covered from the total distance.
Complete step-by-step answer:
Now we are given that a car drove 43 miles per hour.
Hence the speed of the car is 43mph.
Now we are given that the car drove for 7 hours.
We know that the formula for speed is $\text{speed=}\dfrac{\text{distance}}{\text{time}}$ .
Hence rearranging the terms we get $\text{distance=speed}\times \text{time}$ .
Now using this formula let us calculate the distance travelled by car in 7 hours at the speed of 43mph.
Hence we have $43\times 7=301$ .
Hence the distance travelled by the car is 301 miles.
Now the total journey of the trip is given by 400 miles.
Hence the distance remaining to cover is 400 – 301 miles.
Hence the distance remaining is 99miles.
Note: Now note that we can also use the formula to find the time needed to cover the distance.
Now let us say we want to find the time taken to cover the remaining 99 miles. Then we have $\text{time=}\dfrac{\text{distance}}{\text{speed}}$ . Hence using this we get the time taken to cover the remaining distance us $\dfrac{99}{43}$ hours.
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