Time and Distance
MCQs Math


Question:     Find the distance covered by a motor bike in 23 hours if it covers a distance of 78 km in 13 hours.


Correct Answer  138 km

Solution And Explanation

Solution

Given,

Distance = 78 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

= 78/13 = 6 km/h

Thus, speed = 6 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6 km/h × 23 hour = 138 km

Thus, the distance covered in the given time = 138 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 78 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 78 km

∴ In 1 hour the distance covered = 78/13 km

∴ In 23 hours the distance covered

= 78/13 × 23 km

= 78 × 23/13 km

= 1794/13 = 138 km

Thus, the distance covered in the given time = 138 km Answer


Similar Questions

(1) By running at a speed of 45 km/h how much distance a bus will cover in 9 second?

(2) 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.

(3) By running at a speed of 11 km/h how much distance a car will cover in 5 second?

(4) By running at a speed of 7 km/h how much distance a cyclist will cover in 6 second?

(5) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 50 km in 17 hours.

(6) Find the distance covered by a ball in 26 hours if it covers a distance of 84 km in 16 hours.

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

(8) By running at a speed of 42 km/h how much distance a car will cover in 5 second?

(9) Find the distance covered by a bus in 24 hours if it covers a distance of 88 km in 14 hours.

(10) By running at a speed of 39 km/h how much distance a car will cover in 5 second?


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