Time and Distance
MCQs Math


Question:     Find the distance covered by a motor bike in 23 hours if it covers a distance of 86 km in 13 hours.


Correct Answer  152.26 km

Solution And Explanation

Solution

Given,

Distance = 86 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

= 86/13 = 6.62 km/h

Thus, speed = 6.62 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.62 km/h × 23 hour = 152.26 km

Thus, the distance covered in the given time = 152.26 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 86 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 86 km

∴ In 1 hour the distance covered = 86/13 km

∴ In 23 hours the distance covered

= 86/13 × 23 km

= 86 × 23/13 km

= 1978/13 = 152.26 km

Thus, the distance covered in the given time = 152.26 km Answer


Similar Questions

(1) At a certain speed a car covers a distance of 98 km in 2 hours. How much distance will it cover in 3 hour?

(2) Find the distance covered by a moving object in 28 hours if it covers a distance of 96 km in 18 hours.

(3) By running at a speed of 31 km/h how much distance a motor bike will cover in 8 second?

(4) By running at a speed of 41 km/h how much distance a bus will cover in 9 second?

(5) At a certain speed a cyclist covers a distance of 52 km in 3 hours. How much distance will it cover in 4 hour?

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

(7) Find the distance covered by a motor bike in 23 hours if it covers a distance of 88 km in 13 hours.

(8) Mr. John went to a nearby city by a train at a speed of 70 km/h and returned home by a taxi at a speed of 50 km/h. What is his average speed in total journey?

(9) By running at a speed of 11 km/h how much distance a cyclist will cover in 6 second?

(10) At a certain speed a cyclist covers a distance of 90 km in 3 hours. How much distance will it cover in 4 hour?


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