Time and Distance
Math MCQs

Question :    By running at a speed of 29 km/h how much distance a cyclist will cover in 6 second?

Correct Answer  48.36 meter

Solution & Explanation

Solution

Given,

Speed = 29 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, 29 km/h = 29 × ⁵/₁₈ m/s

= ^{29 × 5}/₁₈ m/s

= ¹⁴⁵/₁₈ = 8.06 m/s

Thus, speed = 8.06 m/s

Calculation of distance using formula

Formula to calculate distance when speed and time are given

Distance = Speed × Time

⇒ Distance = 8.06 m/s × 6 s = 48.36 m

Thus, distance = 48.36 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 8.06 meter

∴ In 6 second, the distance covered = 8.06 m × 6 = meter

Thus, distance = 48.36 meter Answer

Similar Questions

(1) By running at a speed of 25 km/h how much distance a bus will cover in 9 second?

(2) By running at a speed of 12 km/h how much distance a car will cover in 5 second?

(3) By running at a speed of 45 km/h how much distance a bus will cover in 9 second?

(4) At a certain speed a cyclist covers a distance of 86 km in 3 hours. How much distance will it cover in 4 hour?

(5) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 50 km in 17 hours.

(6) Find the distance covered by a ball in 26 hours if it covers a distance of 68 km in 16 hours.

(7) At a certain speed a scooty covers a distance of 50 km in 4 hours. How much distance will it cover in 5 hour?

(8) By running at a speed of 33 km/h how much distance a bus will cover in 9 second?

(9) By running at a speed of 2 km/h how much distance a bus will cover in 9 second?

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