Time and Distance
Math MCQs

Question :    By running at a speed of 13 km/h how much distance a cyclist will cover in 6 second?

Correct Answer  21.66 meter

Solution & Explanation

Solution

Given,

Speed = 13 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, 13 km/h = 13 × ⁵/₁₈ m/s

= ^{13 × 5}/₁₈ m/s

= ⁶⁵/₁₈ = 3.61 m/s

Thus, speed = 3.61 m/s

Calculation of distance using formula

Formula to calculate distance when speed and time are given

Distance = Speed × Time

⇒ Distance = 3.61 m/s × 6 s = 21.66 m

Thus, distance = 21.66 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 3.61 meter

∴ In 6 second, the distance covered = 3.61 m × 6 = meter

Thus, distance = 21.66 meter Answer

Similar Questions

(1) At a certain speed a scooty covers a distance of 16 km in 4 hours. How much distance will it cover in 5 hour?

(2) Find the distance covered by a motor bike in 23 hours if it covers a distance of 58 km in 13 hours.

(3) At a certain speed a cyclist covers a distance of 32 km in 3 hours. How much distance will it cover in 4 hour?

(4) By running at a speed of 40 km/h how much distance a scooty will cover in 7 second?

(5) By running at a speed of 49 km/h how much distance a car will cover in 5 second?

(6) By running at a speed of 22 km/h how much distance a cyclist will cover in 6 second?

(7) By running at a speed of 41 km/h how much distance a cyclist will cover in 6 second?

(8) By running at a speed of 13 km/h how much distance a scooty will cover in 7 second?

(9) By running at a speed of 8 km/h how much distance a motor bike will cover in 8 second?

(10) By running at a speed of 46 km/h how much distance an athlete will cover in 10 second?