Time and Distance
MCQs Math


Question:     Find the distance covered by a motor bike in 23 hours if it covers a distance of 100 km in 13 hours.


Correct Answer  176.87 km

Solution And Explanation

Solution

Given,

Distance = 100 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

= 100/13 = 7.69 km/h

Thus, speed = 7.69 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 7.69 km/h × 23 hour = 176.87 km

Thus, the distance covered in the given time = 176.87 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 100 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 100 km

∴ In 1 hour the distance covered = 100/13 km

∴ In 23 hours the distance covered

= 100/13 × 23 km

= 100 × 23/13 km

= 2300/13 = 176.87 km

Thus, the distance covered in the given time = 176.87 km Answer


Similar Questions

(1) Find the distance covered by a bus in 24 hours if it covers a distance of 72 km in 14 hours.

(2) By running at a speed of 2 km/h how much distance a scooty will cover in 7 second?

(3) By running at a speed of 25 km/h how much distance a cyclist will cover in 6 second?

(4) Find the distance covered by a ball in 26 hours if it covers a distance of 82 km in 16 hours.

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

(6) At a certain speed a car covers a distance of 42 km in 2 hours. How much distance will it cover in 3 hour?

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

(8) Find the distance covered by a scooty in 22 hours if it covers a distance of 70 km in 12 hours.

(9) By running at a speed of 3 km/h how much distance an athlete will cover in 10 second?

(10) Find the distance covered by a motor bike in 23 hours if it covers a distance of 60 km in 13 hours.


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