Time and Distance
Math MCQs

Question :    Find the distance covered by a scooty in 22 hours if it covers a distance of 78 km in 12 hours.

Correct Answer  143 km

Solution & Explanation

Solution

Given,

Distance = 78 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

= ⁷⁸/₁₂ = 6.5 km/h

Thus, speed = 6.5 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.5 km/h × 22 hour = 143 km

Thus, the distance covered in the given time = 143 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 78 km

Time = 12 hour

Thus, distance covers in 22 hour = ?

∵ In 12 hours the distance covered = 78 km

∴ In 1 hour the distance covered = ⁷⁸/₁₂ km

∴ In 22 hours the distance covered

= ⁷⁸/₁₂ × 22 km

= ^{78 × 22}/₁₂ km

= ¹⁷¹⁶/₁₂ = 143 km

Thus, the distance covered in the given time = 143 km Answer

Similar Questions

(1) At a certain speed a cyclist covers a distance of 44 km in 3 hours. How much distance will it cover in 4 hour?

(2) Find the distance covered by a cyclist in 21 hours if it covers a distance of 94 km in 11 hours.

(3) At a certain speed a scooty covers a distance of 22 km in 4 hours. How much distance will it cover in 5 hour?

(4) By running at a speed of 40 km/h how much distance a bus will cover in 9 second?

(5) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 90 km in 17 hours.

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

(7) Find the distance covered by a cyclist in 21 hours if it covers a distance of 68 km in 11 hours.

(8) By running at a speed of 30 km/h how much distance a scooty will cover in 7 second?

(9) At a certain speed a car covers a distance of 74 km in 2 hours. How much distance will it cover in 3 hour?

(10) Find the distance covered by a motor bike in 23 hours if it covers a distance of 60 km in 13 hours.