Time and Distance
Math MCQs

Question :    By running at a speed of 46 km/h how much distance a car will cover in 5 second?

Correct Answer  63.9 meter

Solution & Explanation

Solution

Given,

Speed = 46 km/h

Time = 5 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 × 5 s = 63.9 m

Thus, distance = 63.9 meter Answer

Calculation of distance using Unitary Method

∵ In 1 second the distance covered = 12.78 meter

∴ In 5 second, the distance covered = 12.78 m × 5 = meter

Thus, distance = 63.9 meter Answer

Similar Questions

(1) Find the distance covered by a motor bike in 23 hours if it covers a distance of 78 km in 13 hours.

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

(3) Find the distance covered by a bus in 24 hours if it covers a distance of 90 km in 14 hours.

(4) Find the distance covered by a ball in 26 hours if it covers a distance of 84 km in 16 hours.

(5) Find the distance covered by a car in 20 hours if it covers a distance of 62 km in 10 hours.

(6) At a certain speed a cyclist covers a distance of 80 km in 3 hours. How much distance will it cover in 4 hour?

(7) Find the distance covered by a moving object in 28 hours if it covers a distance of 74 km in 18 hours.

(8) At a certain speed a cyclist covers a distance of 8 km in 3 hours. How much distance will it cover in 4 hour?

(9) At a certain speed a car covers a distance of 16 km in 2 hours. How much distance will it cover in 3 hour?

(10) Find the distance covered by a cyclist in 21 hours if it covers a distance of 92 km in 11 hours.