Time and Distance
MCQs Math


Question:     Find the distance covered by a motor bike in 23 hours if it covers a distance of 60 km in 13 hours.


Correct Answer  106.26 km

Solution And Explanation

Solution

Given,

Distance = 60 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

= 60/13 = 4.62 km/h

Thus, speed = 4.62 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 4.62 km/h × 23 hour = 106.26 km

Thus, the distance covered in the given time = 106.26 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 60 km

Time = 13 hour

Thus, distance covers in 23 hour = ?

∵ In 13 hours the distance covered = 60 km

∴ In 1 hour the distance covered = 60/13 km

∴ In 23 hours the distance covered

= 60/13 × 23 km

= 60 × 23/13 km

= 1380/13 = 106.26 km

Thus, the distance covered in the given time = 106.26 km Answer


Similar Questions

(1) After spotting a deer at a distance of 500 m, a tiger takes 1 minute 05 second to catch the prey. If after spotting the deer, the tiger takes about 15 second in thinking and then starts running, then find the speed of the tiger in kilometre per hour.

(2) Mr. John went to a nearby city by a train at a speed of 70 km/h and returned home by a taxi at a speed of 50 km/h. What is his average speed in total journey?

(3) By running at a speed of 50 km/h how much distance a car will cover in 5 second?

(4) Find the distance covered by a cyclist in 21 hours if it covers a distance of 88 km in 11 hours.

(5) By running at a speed of 40 km/h how much distance a cyclist will cover in 6 second?

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

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

(8) Find the distance covered by a car in 20 hours if it covers a distance of 68 km in 10 hours.

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

(10) By running at a speed of 49 km/h how much distance a scooty will cover in 7 second?


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