Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 66 km in 12 hours.

Correct Answer  121 km

Solution & Explanation

Solution

Given,

Distance = 66 km

Time = 12 hour

Thus, distance covers in 22 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

= ⁶⁶/₁₂ = 5.5 km/h

Thus, speed = 5.5 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.5 km/h × 22 hour = 121 km

Thus, the distance covered in the given time = 121 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 66 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 66 km

∴ In 1 hour the distance covered = ⁶⁶/₁₂ km

∴ In 22 hours the distance covered

= ⁶⁶/₁₂ × 22 km

= ^{66 × 22}/₁₂ km

= ¹⁴⁵²/₁₂ = 121 km

Thus, the distance covered in the given time = 121 km Answer

Similar Questions

(1) At a certain speed a cyclist covers a distance of 40 km in 3 hours. How much distance will it cover in 4 hour?

(2) By running at a speed of 42 km/h how much distance a motor bike will cover in 8 second?

(3) At a certain speed a car covers a distance of 88 km in 2 hours. How much distance will it cover in 3 hour?

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

(5) By running at a speed of 19 km/h how much distance an athlete will cover in 10 second?

(6) By running at a speed of 45 km/h how much distance a car will cover in 5 second?

(7) At a certain speed a cyclist covers a distance of 54 km in 3 hours. How much distance will it cover in 4 hour?

(8) At a certain speed a cyclist covers a distance of 58 km in 3 hours. How much distance will it cover in 4 hour?

(9) At a certain speed a cyclist covers a distance of 70 km in 3 hours. How much distance will it cover in 4 hour?

(10) Find the distance covered by a scooty in 22 hours if it covers a distance of 50 km in 12 hours.