Time and Distance
Math MCQs

Question :    By running at a speed of 28 km/h how much distance an athlete will cover in 10 second?

Correct Answer  77.8 meter

Solution & Explanation

Solution

Given,

Speed = 28 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, 28 km/h = 28 × ⁵/₁₈ m/s

= ^{28 × 5}/₁₈ m/s

= ¹⁴⁰/₁₈ = 7.78 m/s

Thus, speed = 7.78 m/s

Calculation of distance using formula

Formula to calculate distance when speed and time are given

Distance = Speed × Time

⇒ Distance = 7.78 m/s × 10 s = 77.8 m

Thus, distance = 77.8 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 7.78 meter

∴ In 10 second, the distance covered = 7.78 m × 10 = meter

Thus, distance = 77.8 meter Answer

Similar Questions

(1) Find the distance covered by a bus in 24 hours if it covers a distance of 88 km in 14 hours.

(2) Find the distance covered by a moving object in 28 hours if it covers a distance of 98 km in 18 hours.

(3) At a certain speed a cyclist covers a distance of 16 km in 3 hours. How much distance will it cover in 4 hour?

(4) By running at a speed of 20 km/h how much distance a motor bike will cover in 8 second?

(5) Find the distance covered by a ball in 26 hours if it covers a distance of 90 km in 16 hours.

(6) By running at a speed of 48 km/h how much distance a bus will cover in 9 second?

(7) By running at a speed of 5 km/h how much distance a cyclist will cover in 6 second?

(8) 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.

(9) By running at a speed of 24 km/h how much distance a scooty will cover in 7 second?

(10) Find the distance covered by a ball in 26 hours if it covers a distance of 86 km in 16 hours.