Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 66 km in 12 hours.

Correct Answer  121 km

Solution & Explanation

Solution

Given,

Distance = 66 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

= ⁶⁶/₁₂ = 5.5 km/h

Thus, speed = 5.5 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.5 km/h × 22 hour = 121 km

Thus, the distance covered in the given time = 121 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 66 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 66 km

∴ In 1 hour the distance covered = ⁶⁶/₁₂ km

∴ In 22 hours the distance covered

= ⁶⁶/₁₂ × 22 km

= ^{66 × 22}/₁₂ km

= ¹⁴⁵²/₁₂ = 121 km

Thus, the distance covered in the given time = 121 km Answer

Similar Questions

(1) By running at a speed of 17 km/h how much distance a motor bike will cover in 8 second?

(2) By running at a speed of 33 km/h how much distance a bus will cover in 9 second?

(3) 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.

(4) At a certain speed a scooty covers a distance of 42 km in 4 hours. How much distance will it cover in 5 hour?

(5) Find the distance covered by a cyclist in 21 hours if it covers a distance of 66 km in 11 hours.

(6) By running at a speed of 23 km/h how much distance a motor bike will cover in 8 second?

(7) By running at a speed of 29 km/h how much distance a bus will cover in 9 second?

(8) By running at a speed of 41 km/h how much distance a motor bike will cover in 8 second?

(9) By running at a speed of 5 km/h how much distance an athlete will cover in 10 second?

(10) By running at a speed of 40 km/h how much distance a motor bike will cover in 8 second?