Time and Distance
Math MCQs

Question :    Find the distance covered by a motor bike in 23 hours if it covers a distance of 80 km in 13 hours.

Correct Answer  141.45 km

Solution & Explanation

Solution

Given,

Distance = 80 km

Time = 13 hour

Thus, distance covers in 23 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

= ⁸⁰/₁₃ = 6.15 km/h

Thus, speed = 6.15 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.15 km/h × 23 hour = 141.45 km

Thus, the distance covered in the given time = 141.45 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 80 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 80 km

∴ In 1 hour the distance covered = ⁸⁰/₁₃ km

∴ In 23 hours the distance covered

= ⁸⁰/₁₃ × 23 km

= ^{80 × 23}/₁₃ km

= ¹⁸⁴⁰/₁₃ = 141.45 km

Thus, the distance covered in the given time = 141.45 km Answer

Similar Questions

(1) Find the distance covered by a bus in 24 hours if it covers a distance of 92 km in 14 hours.

(2) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 52 km in 17 hours.

(3) At a certain speed a scooty covers a distance of 44 km in 4 hours. How much distance will it cover in 5 hour?

(4) At a certain speed a car covers a distance of 34 km in 2 hours. How much distance will it cover in 3 hour?

(5) By running at a speed of 28 km/h how much distance a motor bike will cover in 8 second?

(6) By running at a speed of 30 km/h how much distance a bus will cover in 9 second?

(7) Find the distance covered by a moving object in 28 hours if it covers a distance of 72 km in 18 hours.

(8) At a certain speed a scooty covers a distance of 6 km in 4 hours. How much distance will it cover in 5 hour?

(9) By traveling a speed of 18 km/h, a bike completes a journey in 25 minute, then find the distance covered by him and how much time it will take cover a distance of 120 km?

(10) By running at a speed of 17 km/h how much distance a bus will cover in 9 second?