Time and Distance
MCQs Math


Question:     Find the distance covered by a motor bike in 23 hours if it covers a distance of 96 km in 13 hours.


Correct Answer  169.74 km

Solution And Explanation

Solution

Given,

Distance = 96 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

Here the speed and time are given. So, we need to find the speed to calculate the distance covers in the given time.

Method (1) Using Formula

Calculation of Speed using formula

Formula to find the speed

Speed = Distance/Time

= 96/13 = 7.38 km/h

Thus, speed = 7.38 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 7.38 km/h × 23 hour = 169.74 km

Thus, the distance covered in the given time = 169.74 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 96 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 96 km

∴ In 1 hour the distance covered = 96/13 km

∴ In 23 hours the distance covered

= 96/13 × 23 km

= 96 × 23/13 km

= 2208/13 = 169.74 km

Thus, the distance covered in the given time = 169.74 km Answer


Similar Questions

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

(2) An athlete takes 30 second to complete a race of 450 meter. Find the speed of the athlete in kilometre per hour.

(3) By running at a speed of 41 km/h how much distance a cyclist will cover in 6 second?

(4) At a certain speed a car covers a distance of 44 km in 2 hours. How much distance will it cover in 3 hour?

(5) By traveling a speed of 18 km/h, a bike completes a journey in 25 minute, then find the distance covered by him and how much time it will take cover a distance of 120 km?

(6) By running at a speed of 39 km/h how much distance a car will cover in 5 second?

(7) By running at a speed of 40 km/h how much distance a car will cover in 5 second?

(8) At a certain speed a scooty covers a distance of 98 km in 4 hours. How much distance will it cover in 5 hour?

(9) By running at a speed of 4 km/h how much distance a cyclist will cover in 6 second?

(10) Find the distance covered by a bus in 24 hours if it covers a distance of 78 km in 14 hours.


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