Time and Distance
Math MCQs

Question :    Find the distance covered by a cyclist in 21 hours if it covers a distance of 72 km in 11 hours.

Correct Answer  137.55 km

Solution & Explanation

Solution

Given,

Distance = 72 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

= ⁷²/₁₁ = 6.55 km/h

Thus, speed = 6.55 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.55 km/h × 21 hour = 137.55 km

Thus, the distance covered in the given time = 137.55 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 72 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

∵ In 11 hours the distance covered = 72 km

∴ In 1 hour the distance covered = ⁷²/₁₁ km

∴ In 21 hours the distance covered

= ⁷²/₁₁ × 21 km

= ^{72 × 21}/₁₁ km

= ¹⁵¹²/₁₁ = 137.55 km

Thus, the distance covered in the given time = 137.55 km Answer

Similar Questions

(1) Find the distance covered by a motor bike in 23 hours if it covers a distance of 64 km in 13 hours.

(2) At a certain speed a scooty covers a distance of 72 km in 4 hours. How much distance will it cover in 5 hour?

(3) At a certain speed a car covers a distance of 4 km in 2 hours. How much distance will it cover in 3 hour?

(4) By running at a speed of 35 km/h how much distance a bus will cover in 9 second?

(5) Find the distance covered by an athlete in 25 hours if it covers a distance of 82 km in 15 hours.

(6) Find the distance covered by a bus in 24 hours if it covers a distance of 62 km in 14 hours.

(7) Find the distance covered by a moving object in 28 hours if it covers a distance of 52 km in 18 hours.

(8) At a certain speed a car covers a distance of 30 km in 2 hours. How much distance will it cover in 3 hour?

(9) At a certain speed a cyclist covers a distance of 50 km in 3 hours. How much distance will it cover in 4 hour?

(10) By running at a speed of 28 km/h how much distance a bus will cover in 9 second?