Time and Distance
MCQs Math


Question:     Find the distance covered by a cyclist in 21 hours if it covers a distance of 92 km in 11 hours.


Correct Answer  175.56 km

Solution And Explanation

Solution

Given,

Distance = 92 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

= 92/11 = 8.36 km/h

Thus, speed = 8.36 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 8.36 km/h × 21 hour = 175.56 km

Thus, the distance covered in the given time = 175.56 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 92 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

∵ In 11 hours the distance covered = 92 km

∴ In 1 hour the distance covered = 92/11 km

∴ In 21 hours the distance covered

= 92/11 × 21 km

= 92 × 21/11 km

= 1932/11 = 175.56 km

Thus, the distance covered in the given time = 175.56 km Answer


Similar Questions

(1) Find the distance covered by an athlete in 25 hours if it covers a distance of 98 km in 15 hours.

(2) Find the distance covered by an athlete in 25 hours if it covers a distance of 68 km in 15 hours.

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

(4) By running at a speed of 21 km/h how much distance a motor bike will cover in 8 second?

(5) Find the distance covered by a scooty in 22 hours if it covers a distance of 92 km in 12 hours.

(6) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 78 km in 17 hours.

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

(8) Find the distance covered by a ball in 26 hours if it covers a distance of 76 km in 16 hours.

(9) An athlete takes 45 second to complete a race of 600 meter. Find the speed of the athlete in kilometre per hour.

(10) Find the distance covered by a scooty in 22 hours if it covers a distance of 68 km in 12 hours.


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