Question:
A car covers a distance of 350 km in 10 hours. Find the speed and distance covered in 8 hours by the given car.
Correct Answer
distance = 280 kilometer & speed = 35 kilometer/hour
Solution And Explanation
Solution
Given, distance covered by the given car = 350 km
And, time taken to covered the given distance of 350 km = 10 hours
Thus, distance covered by the given car in 8 hour = ?
Calculation of speed using formula when time and distance is given
We know that
Speed = Distance/Time
Here, distance covered by the car = 350 km
And, time taken to cover the distance = 10 hour
Thus, speed of the car = 350 35 km/ 10 hour
= 35 km/h
= Thus, speed of the car = 35 km/h
Calculation of distance using formula when time and speed is known
Here, speed of the car = 35 km/h (As calculated above)
And, time = 8 hour (As given in the question)
We know that
Distance = Speed × Time
Thus, distance covered by the car in the given time
= 35 km/h × 8 hour = 280 km
Thus, distance covered by the car in 8 hour = 280 km
Thus, distance covered by the cyclist = 280 km and his speed of the car = 35 km/h Answer
Calculation of speed using UNITARY METHOD when time and distance is given
Here, distance coverd by the car in 10 hours = 350 km
Thus, speed of the car = ?
To know the speed of the car, we need to find the distance covered by the car in 1 hour. This speed will be kilometer per hour.
∵ In 10 hour, the distance covered by the car = 350 km
∴ In 1 hour, the distance covered by the car
= 350 35 km/ 10 hour
= 35 km
Since the car covers a distance of 35 km in 1 hour
Thus, the speed of the car = 35 km/h
Calculation of distance using UNITARY METHOD when time and speed is known
Here, speed of the car = 35 km/h (As calculated above)
Thus, distance covers in 8 hour (As given in the question) = ?
∵ In 1 hour, the distance covered by the car = 35 km
∴ In 2 hour, the distance covered by the car = 35 × 2 km = 70 km
Similarly, in 3 hour (1 × 3 hour), the distance covered by the car = 35 × 3 km = 105 km
This means we need to multiply the distance covered in 1 hour by the distance covered in required time.
∴ In 8 hour, the distance covered by the cylist
= 35 × 8 km = 280 km
Thus, distance covered by the car = 280 km and his speed of the car = 35 km/h Answer
Similar Questions
(1) By running at a speed of 41 km/h how much distance a motor bike will cover in 8 second?
(2) By running at a speed of 15 km/h how much distance a motor bike will cover in 8 second?
(3) Find the distance covered by a moving object in 28 hours if it covers a distance of 50 km in 18 hours.
(4) By running at a speed of 35 km/h how much distance a motor bike will cover in 8 second?
(5) By running at a speed of 30 km/h how much distance an athlete will cover in 10 second?
(6) Find the distance covered by a cyclist in 21 hours if it covers a distance of 64 km in 11 hours.
(7) Find the distance covered by a scooty in 22 hours if it covers a distance of 64 km in 12 hours.
(8) At a certain speed a scooty covers a distance of 76 km in 4 hours. How much distance will it cover in 5 hour?
(9) Find the distance covered by a scooty in 22 hours if it covers a distance of 62 km in 12 hours.
(10) At a certain speed a scooty covers a distance of 12 km in 4 hours. How much distance will it cover in 5 hour?