Time and Distance
MCQs Math


Question:     Find the distance covered by a motor bike in 23 hours if it covers a distance of 70 km in 13 hours.


Correct Answer  123.74 km

Solution And Explanation

Solution

Given,

Distance = 70 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

= 70/13 = 5.38 km/h

Thus, speed = 5.38 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.38 km/h × 23 hour = 123.74 km

Thus, the distance covered in the given time = 123.74 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 70 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 70 km

∴ In 1 hour the distance covered = 70/13 km

∴ In 23 hours the distance covered

= 70/13 × 23 km

= 70 × 23/13 km

= 1610/13 = 123.74 km

Thus, the distance covered in the given time = 123.74 km Answer


Similar Questions

(1) At a certain speed a cyclist covers a distance of 60 km in 3 hours. How much distance will it cover in 4 hour?

(2) Find the distance covered by a scooty in 22 hours if it covers a distance of 50 km in 12 hours.

(3) By running at a speed of 39 km/h how much distance an athlete will cover in 10 second?

(4) At a certain speed a cyclist covers a distance of 30 km in 3 hours. How much distance will it cover in 4 hour?

(5) An athlete takes 15 hours to finish a race of 75 km. Calculate the speed of athlete in meter per second.

(6) At a certain speed a scooty covers a distance of 20 km in 4 hours. How much distance will it cover in 5 hour?

(7) Find the distance covered by a car in 20 hours if it covers a distance of 80 km in 10 hours.

(8) At a certain speed a car covers a distance of 74 km in 2 hours. How much distance will it cover in 3 hour?

(9) Find the distance covered by a bus in 24 hours if it covers a distance of 82 km in 14 hours.

(10) By running at a speed of 13 km/h how much distance a scooty will cover in 7 second?


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