Time and Distance
MCQs Math


Question:     By running at a speed of 46 km/h how much distance a cyclist will cover in 6 second?


Correct Answer  76.68 meter

Solution And Explanation

Solution

Given,

Speed = 46 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, 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 × 6 s = 76.68 m

Thus, distance = 76.68 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 12.78 meter

∴ In 6 second, the distance covered = 12.78 m × 6 = meter

Thus, distance = 76.68 meter Answer


Similar Questions

(1) Find the distance covered by a ball in 26 hours if it covers a distance of 60 km in 16 hours.

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

(3) At a certain speed a scooty covers a distance of 46 km in 4 hours. How much distance will it cover in 5 hour?

(4) If a cyclist takes 5 hours to cover a distance of 30 km, then what will be his speed in meter per minute?

(5) Find the distance covered by an athlete in 25 hours if it covers a distance of 74 km in 15 hours.

(6) Find the distance covered by a motor bike in 23 hours if it covers a distance of 56 km in 13 hours.

(7) Find the distance covered by a bus in 24 hours if it covers a distance of 96 km in 14 hours.

(8) By running at a speed of 35 km/h how much distance a cyclist will cover in 6 second?

(9) By running at a speed of 31 km/h how much distance a car will cover in 5 second?

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


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