Time and Distance
Math MCQs

Question :    By running at a speed of 25 km/h how much distance a cyclist will cover in 6 second?

Correct Answer  41.64 meter

Solution & Explanation

Solution

Given,

Speed = 25 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, 25 km/h = 25 × ⁵/₁₈ m/s

= ^{25 × 5}/₁₈ m/s

= ¹²⁵/₁₈ = 6.94 m/s

Thus, speed = 6.94 m/s

Calculation of distance using formula

Formula to calculate distance when speed and time are given

Distance = Speed × Time

⇒ Distance = 6.94 m/s × 6 s = 41.64 m

Thus, distance = 41.64 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 6.94 meter

∴ In 6 second, the distance covered = 6.94 m × 6 = meter

Thus, distance = 41.64 meter Answer

Similar Questions

(1) At a certain speed a scooty covers a distance of 6 km in 4 hours. How much distance will it cover in 5 hour?

(2) By running at a speed of 21 km/h how much distance a scooty will cover in 7 second?

(3) After spotting a deer at a distance of 500 m, a tiger takes 1 minute 05 second to catch the prey. If after spotting the deer, the tiger takes about 15 second in thinking and then starts running, then find the speed of the tiger in kilometre per hour.

(4) By running at a speed of 25 km/h how much distance a cyclist will cover in 6 second?

(5) By running at a speed of 20 km/h how much distance a car will cover in 5 second?

(6) By running at a speed of 50 km/h how much distance a bus will cover in 9 second?

(7) By running at a speed of 15 km/h how much distance a car will cover in 5 second?

(8) By running at a speed of 18 km/h how much distance an athlete will cover in 10 second?

(9) By running at a speed of 43 km/h how much distance an athlete will cover in 10 second?

(10) A car covers a distance of 350 km in 10 hours. Find the speed and distance covered in 8 hours by the given car.