Time and Distance
Math MCQs

Question :    Find the distance covered by a cricket ball in 27 hours if it covers a distance of 54 km in 17 hours.

Correct Answer  85.86 km

Solution & Explanation

Solution

Given,

Distance = 54 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

= ⁵⁴/₁₇ = 3.18 km/h

Thus, speed = 3.18 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 3.18 km/h × 27 hour = 85.86 km

Thus, the distance covered in the given time = 85.86 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 54 km

Time = 17 hour

Thus, distance covers in 27 hour = ?

∵ In 17 hours the distance covered = 54 km

∴ In 1 hour the distance covered = ⁵⁴/₁₇ km

∴ In 27 hours the distance covered

= ⁵⁴/₁₇ × 27 km

= ^{54 × 27}/₁₇ km

= ¹⁴⁵⁸/₁₇ = 85.86 km

Thus, the distance covered in the given time = 85.86 km Answer

Similar Questions

(1) Find the distance covered by a cyclist in 21 hours if it covers a distance of 64 km in 11 hours.

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

(3) At a certain speed a cyclist covers a distance of 64 km in 3 hours. How much distance will it cover in 4 hour?

(4) By running at a speed of 26 km/h how much distance a motor bike will cover in 8 second?

(5) At a certain speed a cyclist covers a distance of 70 km in 3 hours. How much distance will it cover in 4 hour?

(6) By traveling a speed of 18 km/h, a bike completes a journey in 25 minute, then find the distance covered by him and how much time it will take cover a distance of 120 km?

(7) By running at a speed of 9 km/h how much distance an athlete will cover in 10 second?

(8) At a certain speed a car covers a distance of 70 km in 2 hours. How much distance will it cover in 3 hour?

(9) Find the distance covered by a moving object in 28 hours if it covers a distance of 94 km in 18 hours.

(10) 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.