Time and Distance
MCQs Math


Question:     Find the distance covered by a commet in 27 hours if it covers a distance of 100 km in 17 hours.


Correct Answer  158.76 km

Solution And Explanation

Solution

Given,

Distance = 100 km

Time = 17 hour

Thus, distance covers in 27 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

= 100/17 = 5.88 km/h

Thus, speed = 5.88 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.88 km/h × 27 hour = 158.76 km

Thus, the distance covered in the given time = 158.76 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 100 km

Time = 17 hour

Thus, distance covers in 27 hour = ?

∵ In 17 hours the distance covered = 100 km

∴ In 1 hour the distance covered = 100/17 km

∴ In 27 hours the distance covered

= 100/17 × 27 km

= 100 × 27/17 km

= 2700/17 = 158.76 km

Thus, the distance covered in the given time = 158.76 km Answer


Similar Questions

(1) Find the distance covered by a scooty in 22 hours if it covers a distance of 54 km in 12 hours.

(2) With a speed of 27 km/h, how much distance will be covered by a cyclist in 3 minute 20 second?

(3) At a certain speed a scooty covers a distance of 18 km in 4 hours. How much distance will it cover in 5 hour?

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

(5) At a certain speed a car covers a distance of 48 km in 2 hours. How much distance will it cover in 3 hour?

(6) 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.

(7) Find the distance covered by a ball in 26 hours if it covers a distance of 54 km in 16 hours.

(8) By running at a speed of 21 km/h how much distance an athlete will cover in 10 second?

(9) By running at a speed of 45 km/h how much distance a scooty will cover in 7 second?

(10) Find the distance covered by an athlete in 25 hours if it covers a distance of 60 km in 15 hours.


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