Time and Distance
Math MCQs

Question :    Find the distance covered by a cyclist in 21 hours if it covers a distance of 66 km in 11 hours.

Correct Answer  126 km

Solution & Explanation

Solution

Given,

Distance = 66 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

= ⁶⁶/₁₁ = 6 km/h

Thus, speed = 6 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6 km/h × 21 hour = 126 km

Thus, the distance covered in the given time = 126 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 66 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

∵ In 11 hours the distance covered = 66 km

∴ In 1 hour the distance covered = ⁶⁶/₁₁ km

∴ In 21 hours the distance covered

= ⁶⁶/₁₁ × 21 km

= ^{66 × 21}/₁₁ km

= ¹³⁸⁶/₁₁ = 126 km

Thus, the distance covered in the given time = 126 km Answer

Similar Questions

(1) Find the distance covered by a cyclist in 21 hours if it covers a distance of 100 km in 11 hours.

(2) At a certain speed a scooty covers a distance of 64 km in 4 hours. How much distance will it cover in 5 hour?

(3) At a certain speed a car covers a distance of 54 km in 2 hours. How much distance will it cover in 3 hour?

(4) By running at a speed of 23 km/h how much distance a motor bike will cover in 8 second?

(5) At a certain speed a scooty covers a distance of 58 km in 4 hours. How much distance will it cover in 5 hour?

(6) Find the distance covered by a ball in 26 hours if it covers a distance of 88 km in 16 hours.

(7) At a certain speed a scooty covers a distance of 70 km in 4 hours. How much distance will it cover in 5 hour?

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

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

(10) Find the distance covered by an athlete in 25 hours if it covers a distance of 52 km in 15 hours.