Time and Distance
Math MCQs

Question :    Find the distance covered by a car in 20 hours if it covers a distance of 64 km in 10 hours.

Correct Answer  128 km

Solution & Explanation

Solution

Given,

Distance = 64 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

= ⁶⁴/₁₀ = 6.4 km/h

Thus, speed = 6.4 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.4 km/h × 20 hour = 128 km

Thus, the distance covered in the given time = 128 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 64 km

Time = 10 hour

Thus, distance covers in 20 hour = ?

∵ In 10 hours the distance covered = 64 km

∴ In 1 hour the distance covered = ⁶⁴/₁₀ km

∴ In 20 hours the distance covered

= ⁶⁴/₁₀ × 20 km

= ^{64 × 20}/₁₀ km

= ¹²⁸⁰/₁₀ = 128 km

Thus, the distance covered in the given time = 128 km Answer

Similar Questions

(1) At a certain speed a car covers a distance of 46 km in 2 hours. How much distance will it cover in 3 hour?

(2) At a certain speed a scooty covers a distance of 34 km in 4 hours. How much distance will it cover in 5 hour?

(3) Find the distance covered by a motor bike in 23 hours if it covers a distance of 56 km in 13 hours.

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

(5) By running at a speed of 34 km/h how much distance a car will cover in 5 second?

(6) By running at a speed of 48 km/h how much distance a car will cover in 5 second?

(7) At a certain speed a cyclist covers a distance of 16 km in 3 hours. How much distance will it cover in 4 hour?

(8) By running at a speed of 11 km/h how much distance a cyclist will cover in 6 second?

(9) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 76 km in 17 hours.

(10) Find the distance covered by a scooty in 22 hours if it covers a distance of 86 km in 12 hours.