Time and Distance
Math MCQs

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

Correct Answer  127.8 meter

Solution & Explanation

Solution

Given,

Speed = 46 km/h

Time = 10 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 × 10 s = 127.8 m

Thus, distance = 127.8 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 12.78 meter

∴ In 10 second, the distance covered = 12.78 m × 10 = meter

Thus, distance = 127.8 meter Answer

Similar Questions

(1) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 90 km in 17 hours.

(2) By running at a speed of 22 km/h how much distance an athlete will cover in 10 second?

(3) At a certain speed a car covers a distance of 98 km in 2 hours. How much distance will it cover in 3 hour?

(4) If a cyclist covers a distance of 28 km in 7 hours, then how much distance will he cover in 5 hour? And what is his speed?

(5) At a certain speed a scooty covers a distance of 70 km in 4 hours. How much distance will it cover in 5 hour?

(6) By running at a speed of 29 km/h how much distance a bus will cover in 9 second?

(7) Find the distance covered by a moving object in 28 hours if it covers a distance of 72 km in 18 hours.

(8) By running at a speed of 13 km/h how much distance an athlete will cover in 10 second?

(9) Find the distance covered by a motor bike in 23 hours if it covers a distance of 68 km in 13 hours.

(10) By running at a speed of 47 km/h how much distance a motor bike will cover in 8 second?