Time and Distance
Math MCQs

Question :    Find the distance covered by a motor bike in 23 hours if it covers a distance of 76 km in 13 hours.

Correct Answer  134.55 km

Solution & Explanation

Solution

Given,

Distance = 76 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

= ⁷⁶/₁₃ = 5.85 km/h

Thus, speed = 5.85 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.85 km/h × 23 hour = 134.55 km

Thus, the distance covered in the given time = 134.55 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 76 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 76 km

∴ In 1 hour the distance covered = ⁷⁶/₁₃ km

∴ In 23 hours the distance covered

= ⁷⁶/₁₃ × 23 km

= ^{76 × 23}/₁₃ km

= ¹⁷⁴⁸/₁₃ = 134.55 km

Thus, the distance covered in the given time = 134.55 km Answer

Similar Questions

(1) Find the distance covered by an athlete in 25 hours if it covers a distance of 62 km in 15 hours.

(2) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 82 km in 17 hours.

(3) By running at a speed of 23 km/h how much distance a bus will cover in 9 second?

(4) Find the distance covered by a bus in 24 hours if it covers a distance of 76 km in 14 hours.

(5) Find the distance covered by a bus in 24 hours if it covers a distance of 100 km in 14 hours.

(6) By running at a speed of 42 km/h how much distance a cyclist will cover in 6 second?

(7) By running at a speed of 41 km/h how much distance a motor bike will cover in 8 second?

(8) Find the distance covered by a motor bike in 23 hours if it covers a distance of 80 km in 13 hours.

(9) Mr. Robert goes to his office everday by a cycle and returns home everyday by an electric cycle. If the speed of the cycle is 15 km/h and the speed of the electric bike is 25 km/h, then find his average speed in to and fro journey.

(10) By running at a speed of 8 km/h how much distance a scooty will cover in 7 second?