Time and Distance
Math MCQs

Question :    By running at a speed of 27 km/h how much distance a cyclist will cover in 6 second?

Correct Answer  45 meter

Solution & Explanation

Solution

Given,

Speed = 27 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, 27 km/h = 27 × ⁵/₁₈ m/s

= ^{27 × 5}/₁₈ m/s

= ¹³⁵/₁₈ = 7.5 m/s

Thus, speed = 7.5 m/s

Calculation of distance using formula

Formula to calculate distance when speed and time are given

Distance = Speed × Time

⇒ Distance = 7.5 m/s × 6 s = 45 m

Thus, distance = 45 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 7.5 meter

∴ In 6 second, the distance covered = 7.5 m × 6 = meter

Thus, distance = 45 meter Answer

Similar Questions

(1) By running at a speed of 34 km/h how much distance a motor bike will cover in 8 second?

(2) At a certain speed a car covers a distance of 100 km in 2 hours. How much distance will it cover in 3 hour?

(3) Find the distance covered by a ball in 26 hours if it covers a distance of 50 km in 16 hours.

(4) An athlete takes 1 minute 20 second to complete a race of 1000 meter. Find the speed of the athlete in kilometre per hour.

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

(6) At a certain speed a cyclist covers a distance of 100 km in 3 hours. How much distance will it cover in 4 hour?

(7) Find the distance covered by a bus in 24 hours if it covers a distance of 64 km in 14 hours.

(8) Find the distance covered by a ball in 26 hours if it covers a distance of 84 km in 16 hours.

(9) By running at a speed of 12 km/h how much distance an athlete will cover in 10 second?

(10) By running at a speed of 34 km/h how much distance a cyclist will cover in 6 second?