Time and Distance
Math MCQs

Question :    Find the distance covered by a motor bike in 23 hours if it covers a distance of 86 km in 13 hours.

Correct Answer  152.26 km

Solution & Explanation

Solution

Given,

Distance = 86 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

= ⁸⁶/₁₃ = 6.62 km/h

Thus, speed = 6.62 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.62 km/h × 23 hour = 152.26 km

Thus, the distance covered in the given time = 152.26 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 86 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 86 km

∴ In 1 hour the distance covered = ⁸⁶/₁₃ km

∴ In 23 hours the distance covered

= ⁸⁶/₁₃ × 23 km

= ^{86 × 23}/₁₃ km

= ¹⁹⁷⁸/₁₃ = 152.26 km

Thus, the distance covered in the given time = 152.26 km Answer

Similar Questions

(1) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 72 km in 17 hours.

(2) By running at a speed of 35 km/h how much distance an athlete will cover in 10 second?

(3) At a certain speed a scooty covers a distance of 94 km in 4 hours. How much distance will it cover in 5 hour?

(4) Find the distance covered by a bus in 24 hours if it covers a distance of 54 km in 14 hours.

(5) Find the distance covered by a scooty in 22 hours if it covers a distance of 98 km in 12 hours.

(6) By running at a speed of 15 km/h how much distance a bus will cover in 9 second?

(7) By running at a speed of 46 km/h how much distance an athlete will cover in 10 second?

(8) At a certain speed a car covers a distance of 58 km in 2 hours. How much distance will it cover in 3 hour?

(9) By running at a speed of 48 km/h how much distance a motor bike will cover in 8 second?

(10) By running at a speed of 16 km/h how much distance a motor bike will cover in 8 second?