Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 74 km in 12 hours.

Correct Answer  135.74 km

Solution & Explanation

Solution

Given,

Distance = 74 km

Time = 12 hour

Thus, distance covers in 22 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

= ⁷⁴/₁₂ = 6.17 km/h

Thus, speed = 6.17 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.17 km/h × 22 hour = 135.74 km

Thus, the distance covered in the given time = 135.74 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 74 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 74 km

∴ In 1 hour the distance covered = ⁷⁴/₁₂ km

∴ In 22 hours the distance covered

= ⁷⁴/₁₂ × 22 km

= ^{74 × 22}/₁₂ km

= ¹⁶²⁸/₁₂ = 135.74 km

Thus, the distance covered in the given time = 135.74 km Answer

Similar Questions

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

(2) Find the distance covered by a motor bike in 23 hours if it covers a distance of 100 km in 13 hours.

(3) Find the distance covered by a bus in 24 hours if it covers a distance of 66 km in 14 hours.

(4) At a certain speed a cyclist covers a distance of 90 km in 3 hours. How much distance will it cover in 4 hour?

(5) At a certain speed a scooty covers a distance of 86 km in 4 hours. How much distance will it cover in 5 hour?

(6) 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.

(7) By running at a speed of 22 km/h how much distance a motor bike will cover in 8 second?

(8) Find the distance covered by a scooty in 22 hours if it covers a distance of 60 km in 12 hours.

(9) Find the distance covered by a moving object in 28 hours if it covers a distance of 60 km in 18 hours.

(10) Find the distance covered by a scooty in 22 hours if it covers a distance of 82 km in 12 hours.