Question:
If a cyclist covers a distance of 28 km in 7 hours, then how much distance will he cover in 5 hour? And what is his speed?
Correct Answer
distance = 20 kilometer & speed = 4 kilometer/hour
Solution And Explanation
Solution
Given, distance covers in 7 hour = 28 km
Thus, distance covered in 5 hour = ?
Calculation of speed using formula when time and distance is given
We know that
Speed = Distance/Time
Here, distance covered by the cyclist = 28 km
And, time taken to cover the distance = 7 hour
Thus, speed of the cyclist = 28 4 km/ 7 hour
= 4 km/h
= Thus, speed of the cyclist = 4 km/h
Calculation of distance using formula when time and speed is known
Here, speed = 4 km/h (As calculated above)
And, time = 5 hour (As given in the question)
We know that
Distance = Speed × Time
Thus, distance covered by the cyclist in the given time
= 4 km/h × 5 hour = 20 km
Thus, distance covered by the cyclist in 5 hour = 20 km
Thus, distance covered by the cyclist = 20 km and his speed = 4 km/h Answer
Calculation of speed using UNITARY METHOD when time and distance is given
Here, distance coverd = 28 km and time = 7 hour
∵ In 7 hour, the distance covered by the cyclist = 28 km
∴ In 1 hour, the distance covered by the cyclist
= 28 4 km/ 7 hour
= 4 km
Since the cyclist covers a distance of 4 km in 1 hour
Thus, the speed of the cyclist = 4 km/h
Calculation of distance using UNITARY METHOD when time and speed is known
Here, speed = 4 km/h (As calculated above)
And, time = 5 hour (As given in the question)
∵ In 1 hour, the distance covered by the cyclist = 4 km
∴ In 5 hour, the distance covered by the cylist
= 4 × 5 km = 20 km
Thus, distance covered by the cyclist = 20 km and his speed = 4 km/h Answer
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