Question : Find the distance covered by a commet in 27 hours if it covers a distance of 100 km in 17 hours.
Correct Answer 158.76 km
Solution & Explanation
Solution
Given,
Distance = 100 km
Time = 17 hour
Thus, distance covers in 27 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
= 100/17 = 5.88 km/h
Thus, speed = 5.88 km/h
Calculation of the distance in the given time using formula
Formula to find the distance
Distance = Speed × Time
= 5.88 km/h × 27 hour = 158.76 km
Thus, the distance covered in the given time = 158.76 km Answer
Method (2) Using Unitary Method
Calculation of the Distance using formula
Given,
Distance = 100 km
Time = 17 hour
Thus, distance covers in 27 hour = ?
∵ In 17 hours the distance covered = 100 km
∴ In 1 hour the distance covered = 100/17 km
∴ In 27 hours the distance covered
= 100/17 × 27 km
= 100 × 27/17 km
= 2700/17 = 158.76 km
Thus, the distance covered in the given time = 158.76 km Answer
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