Time and Distance
MCQs Math


Question:     Find the distance covered by a cyclist in 21 hours if it covers a distance of 82 km in 11 hours.


Correct Answer  156.45 km

Solution And Explanation

Solution

Given,

Distance = 82 km

Time = 11 hour

Thus, distance covers in 21 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

= 82/11 = 7.45 km/h

Thus, speed = 7.45 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 7.45 km/h × 21 hour = 156.45 km

Thus, the distance covered in the given time = 156.45 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 82 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

∵ In 11 hours the distance covered = 82 km

∴ In 1 hour the distance covered = 82/11 km

∴ In 21 hours the distance covered

= 82/11 × 21 km

= 82 × 21/11 km

= 1722/11 = 156.45 km

Thus, the distance covered in the given time = 156.45 km Answer


Similar Questions

(1) By running at a speed of 24 km/h how much distance a cyclist will cover in 6 second?

(2) By running at a speed of 27 km/h how much distance an athlete will cover in 10 second?

(3) By running at a speed of 4 km/h how much distance an athlete will cover in 10 second?

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

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

(6) By running at a speed of 26 km/h how much distance a motor bike will cover in 8 second?

(7) By running at a speed of 25 km/h how much distance a bus will cover in 9 second?

(8) By running at a speed of 16 km/h how much distance a motor bike will cover in 8 second?

(9) Find the distance covered by a cyclist in 21 hours if it covers a distance of 84 km in 11 hours.

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


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