Question : At a certain speed a cyclist covers a distance of 46 km in 3 hours. How much distance will it cover in 4 hour?
Correct Answer 61.32 km
Solution & Explanation
Solution
Given,
Distance = 46 km
Time = 3 hour
Thus, distance covers in 4 hour = ?
Here the speed and time are given. So, we need to find the speed to calculate the distance covers in the given time.
Method (1) Using Formula
Calculation of Speed using formula
Formula to find the speed
Speed = Distance/Time
= 46/3 = 15.33 km/h
Thus, speed = 15.33 km/h
Calculation of the distance in the given time using formula
Formula to find the distance
Distance = Speed × Time
= 15.33 km/h × 4 hour = 61.32 km
Thus, the distance covered in the given time = 61.32 km Answer
Method (2) Using Unitary Method
Calculation of the Distance using formula
Given,
Distance = 46 km
Time = 3 hour
Thus, distance covers in 4 hour = ?
∵ In 3 hours the distance covered = 46 km
∴ In 1 hour the distance covered = 46/3 km
∴ In 4 hours the distance covered
= 46/3 × 4 km
= 46 × 4/3 km
= 184/3 = 61.32 km
Thus, the distance covered in the given time = 61.32 km Answer
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