Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 84 km in 12 hours.

Correct Answer  154 km

Solution & Explanation

Solution

Given,

Distance = 84 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

= ⁸⁴/₁₂ = 7 km/h

Thus, speed = 7 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 7 km/h × 22 hour = 154 km

Thus, the distance covered in the given time = 154 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 84 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 84 km

∴ In 1 hour the distance covered = ⁸⁴/₁₂ km

∴ In 22 hours the distance covered

= ⁸⁴/₁₂ × 22 km

= ^{84 × 22}/₁₂ km

= ¹⁸⁴⁸/₁₂ = 154 km

Thus, the distance covered in the given time = 154 km Answer

Similar Questions

(1) Find the distance covered by a moving object in 28 hours if it covers a distance of 66 km in 18 hours.

(2) An athlete takes 1 minute 20 second to complete a race of 1000 meter. Find the speed of the athlete in kilometre per hour.

(3) At a certain speed a scooty covers a distance of 50 km in 4 hours. How much distance will it cover in 5 hour?

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

(5) By running at a speed of 50 km/h how much distance a bus will cover in 9 second?

(6) Find the distance covered by a car in 20 hours if it covers a distance of 72 km in 10 hours.

(7) At a certain speed a cyclist covers a distance of 10 km in 3 hours. How much distance will it cover in 4 hour?

(8) By running at a speed of 6 km/h how much distance a bus will cover in 9 second?

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

(10) Find the distance covered by a cyclist in 21 hours if it covers a distance of 82 km in 11 hours.