Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 74 km in 12 hours.

Correct Answer  135.74 km

Solution & Explanation

Solution

Given,

Distance = 74 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

= ⁷⁴/₁₂ = 6.17 km/h

Thus, speed = 6.17 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.17 km/h × 22 hour = 135.74 km

Thus, the distance covered in the given time = 135.74 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 74 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 74 km

∴ In 1 hour the distance covered = ⁷⁴/₁₂ km

∴ In 22 hours the distance covered

= ⁷⁴/₁₂ × 22 km

= ^{74 × 22}/₁₂ km

= ¹⁶²⁸/₁₂ = 135.74 km

Thus, the distance covered in the given time = 135.74 km Answer

Similar Questions

(1) Find the distance covered by a bus in 24 hours if it covers a distance of 82 km in 14 hours.

(2) Find the distance covered by a scooty in 22 hours if it covers a distance of 64 km in 12 hours.

(3) By running at a speed of 11 km/h how much distance a motor bike will cover in 8 second?

(4) At a certain speed a cyclist covers a distance of 62 km in 3 hours. How much distance will it cover in 4 hour?

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

(6) By running at a speed of 50 km/h how much distance a motor bike will cover in 8 second?

(7) At a certain speed a scooty covers a distance of 60 km in 4 hours. How much distance will it cover in 5 hour?

(8) Find the distance covered by a motor bike in 23 hours if it covers a distance of 100 km in 13 hours.

(9) At a certain speed a car covers a distance of 10 km in 2 hours. How much distance will it cover in 3 hour?

(10) Find the distance covered by a scooty in 22 hours if it covers a distance of 76 km in 12 hours.