Time and Distance
Math MCQs

Question :    Find the distance covered by a cricket ball in 27 hours if it covers a distance of 72 km in 17 hours.

Correct Answer  114.48 km

Solution & Explanation

Solution

Given,

Distance = 72 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

= ⁷²/₁₇ = 4.24 km/h

Thus, speed = 4.24 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 4.24 km/h × 27 hour = 114.48 km

Thus, the distance covered in the given time = 114.48 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 72 km

Time = 17 hour

Thus, distance covers in 27 hour = ?

∵ In 17 hours the distance covered = 72 km

∴ In 1 hour the distance covered = ⁷²/₁₇ km

∴ In 27 hours the distance covered

= ⁷²/₁₇ × 27 km

= ^{72 × 27}/₁₇ km

= ¹⁹⁴⁴/₁₇ = 114.48 km

Thus, the distance covered in the given time = 114.48 km Answer

Similar Questions

(1) Find the distance covered by a cyclist in 21 hours if it covers a distance of 60 km in 11 hours.

(2) At a certain speed a cyclist covers a distance of 100 km in 3 hours. How much distance will it cover in 4 hour?

(3) At a certain speed a scooty covers a distance of 12 km in 4 hours. How much distance will it cover in 5 hour?

(4) At a certain speed a scooty covers a distance of 58 km in 4 hours. How much distance will it cover in 5 hour?

(5) At a certain speed a cyclist covers a distance of 62 km in 3 hours. How much distance will it cover in 4 hour?

(6) By running at a speed of 12 km/h how much distance a cyclist will cover in 6 second?

(7) By running at a speed of 29 km/h how much distance a motor bike will cover in 8 second?

(8) By running at a speed of 49 km/h how much distance a cyclist will cover in 6 second?

(9) At a certain speed a scooty covers a distance of 6 km in 4 hours. How much distance will it cover in 5 hour?

(10) Find the distance covered by a bus in 24 hours if it covers a distance of 54 km in 14 hours.