Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 78 km in 12 hours.

Correct Answer  143 km

Solution & Explanation

Solution

Given,

Distance = 78 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

= ⁷⁸/₁₂ = 6.5 km/h

Thus, speed = 6.5 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.5 km/h × 22 hour = 143 km

Thus, the distance covered in the given time = 143 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 78 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 78 km

∴ In 1 hour the distance covered = ⁷⁸/₁₂ km

∴ In 22 hours the distance covered

= ⁷⁸/₁₂ × 22 km

= ^{78 × 22}/₁₂ km

= ¹⁷¹⁶/₁₂ = 143 km

Thus, the distance covered in the given time = 143 km Answer

Similar Questions

(1) Find the distance covered by a scooty in 22 hours if it covers a distance of 52 km in 12 hours.

(2) At a certain speed a cyclist covers a distance of 28 km in 3 hours. How much distance will it cover in 4 hour?

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

(4) Find the distance covered by a cyclist in 21 hours if it covers a distance of 68 km in 11 hours.

(5) By running at a speed of 22 km/h how much distance a cyclist will cover in 6 second?

(6) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 68 km in 17 hours.

(7) Find the distance covered by a scooty in 22 hours if it covers a distance of 54 km in 12 hours.

(8) At a certain speed a car covers a distance of 100 km in 2 hours. How much distance will it cover in 3 hour?

(9) By running at a speed of 42 km/h how much distance a bus will cover in 9 second?

(10) An athlete takes 10 second to complete a race of 200 meter. Find the speed of the athlete in kilometre per hour.