Time and Distance
Math MCQs

Question :    Find the distance covered by a car in 20 hours if it covers a distance of 82 km in 10 hours.

Correct Answer  164 km

Solution & Explanation

Solution

Given,

Distance = 82 km

Time = 10 hour

Thus, distance covers in 20 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

= ⁸²/₁₀ = 8.2 km/h

Thus, speed = 8.2 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 8.2 km/h × 20 hour = 164 km

Thus, the distance covered in the given time = 164 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 82 km

Time = 10 hour

Thus, distance covers in 20 hour = ?

∵ In 10 hours the distance covered = 82 km

∴ In 1 hour the distance covered = ⁸²/₁₀ km

∴ In 20 hours the distance covered

= ⁸²/₁₀ × 20 km

= ^{82 × 20}/₁₀ km

= ¹⁶⁴⁰/₁₀ = 164 km

Thus, the distance covered in the given time = 164 km Answer

Similar Questions

(1) Find the distance covered by an athlete in 25 hours if it covers a distance of 88 km in 15 hours.

(2) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 94 km in 17 hours.

(3) At a certain speed a car covers a distance of 40 km in 2 hours. How much distance will it cover in 3 hour?

(4) By running at a speed of 40 km/h how much distance a bus will cover in 9 second?

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

(6) Find the distance covered by a motor bike in 23 hours if it covers a distance of 98 km in 13 hours.

(7) Find the distance covered by a moving object in 28 hours if it covers a distance of 58 km in 18 hours.

(8) At a certain speed a scooty covers a distance of 80 km in 4 hours. How much distance will it cover in 5 hour?

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

(10) By running at a speed of 41 km/h how much distance an athlete will cover in 10 second?