mcqs Math Time and Distance By running at a speed of 46 km/h how much distance a cyclist will cover in 6 second? 30946

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Question: By running at a speed of 46 km/h how much distance a cyclist will cover in 6 second?

(A)  46 meter
(B)  95.85 meter
(C)  76.68 meter
(D)  38.34 meter

Correct Answer 76.68 meter

Solution And Explanation

Solution

Given,

Speed = 46 km/h

Time = 6 second

Thus, distance = ?

Here the speed is given in the kilometer per hour while the time is in the second. So, for the ease of calculation, the speed should be converted into meter per second.

Conversion of the speed from kilometer per hour to meter per second

To convert kilometer per hour, the speed is multiplied by ⁵/₁₈

Therefore, 46 km/h = 46 × ⁵/₁₈ m/s

= ^{46 × 5}/₁₈ m/s

= ²³⁰/₁₈ = 12.78 m/s

Thus, speed = 12.78 m/s

Calculation of distance using formula

Formula to calculate distance when speed and time are given

Distance = Speed × Time

⇒ Distance = 12.78 m/s × 6 s = 76.68 m

Thus, distance = 76.68 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 12.78 meter

∴ In 6 second, the distance covered = 12.78 m × 6 = meter

Thus, distance = 76.68 meter Answer

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