Question : Find the distance covered by a motor bike in 23 hours if it covers a distance of 98 km in 13 hours.
Correct Answer 173.42 km
Solution & Explanation
Solution
Given,
Distance = 98 km
Time = 13 hour
Thus, distance covers in 23 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
= 98/13 = 7.54 km/h
Thus, speed = 7.54 km/h
Calculation of the distance in the given time using formula
Formula to find the distance
Distance = Speed × Time
= 7.54 km/h × 23 hour = 173.42 km
Thus, the distance covered in the given time = 173.42 km Answer
Method (2) Using Unitary Method
Calculation of the Distance using formula
Given,
Distance = 98 km
Time = 13 hour
Thus, distance covers in 23 hour = ?
∵ In 13 hours the distance covered = 98 km
∴ In 1 hour the distance covered = 98/13 km
∴ In 23 hours the distance covered
= 98/13 × 23 km
= 98 × 23/13 km
= 2254/13 = 173.42 km
Thus, the distance covered in the given time = 173.42 km Answer
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