Question : If a car is running with a speed of 60 km/h, then how much distance will it cover in 15 minute 20 second?
Correct Answer 15 1/3 km or 15.33 km
Solution & Explanation
Solution
Given, speed = 60 km/h
Time = 15 minute 20 second
Thus, distance covered in the given time = ?
Calculation of distance using formula
Here, since time is given in the minute and second, thus we need to change the time into hour. Because while calculation, the unit of all the statistics should be uniform.
Here, given, time = 15 minute 20 second
Thus, to change this time into hour, we need to divide minute by 60 and second by 3600
Thus, 15 minute 20 second
= 15/60 hour + 20 1 / 60 3 × 60 hour
= 15 1 / 60 4 + 1/180 hour
= 45 + 1/180
= 46 23/ 180 90 hour = 23/90 hour
Thus, time = 23/90 hour
And given speed = 60 km/h
Now, we know that
Distance = Speed × Time
= 60 2 km/h × 23/ 90 3 hour
= 23 × 2/3 km
= 46/3 km
= 15 1/3 km or 15.33 km
Thus, distance covered by the car in the given time = 15 1/3 km or 15.33 km Answer
Calculation of distance after converting the unit of speed as per unit of given time using Unitary Method
Here, time = 15 minute 20 second
= 15 × 60 second + 20 second
= 900 + 20 = 920 second
Thus, time = 920 second
And, given speed = 60 km/h
This means, in 3600 second, the distance covered = 60 km
Now, ∵ In 3600 second, distance covered by the car = 60 km
∴ In 1 second, the distance covered by the car = 60/3600 km
∴ In 920 second, the distance covered by the given car = 60 1 / 3600 60 × 920 km
= 920/60 km = 92 46/ 6 3 km
= 15 1/3 km or 15.33 km
Thus, distance covered by the car in the given time = 15 1/3 km or 15.33 km Answer
Calculation of distance after bifurcating the given time
Given, time = 15 minute 20 second
= 15 minute + 20/60 minute
= 15 minute + 1/3 minute
Given, speed = 60 km/h
This, means the car covers 60 km in 60 minute [∵ 1 hour = 60 minute]
Thus, in 1 minute car travels a distance of 1 km
That means, the speed = 1 km/minute
Now, since Distance = Speed × Time
= 1 × (15 + 1/3 km
= 15 + 1/3 km
= 45 + 1/3 = 46/3 km
= 15 1/3 km = 15.33 km
Thus, distance covered by the car in the given time = 15 1/3 km or 15.33 km Answer
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