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) By running at a speed of 19 km/h how much distance an athlete will cover in 10 second?

(2) At a certain speed a car covers a distance of 48 km in 2 hours. How much distance will it cover in 3 hour?

(3) Mr. John went to a nearby city by a train at a speed of 70 km/h and returned home by a taxi at a speed of 50 km/h. What is his average speed in total journey?

(4) At a certain speed a cyclist covers a distance of 68 km in 3 hours. How much distance will it cover in 4 hour?

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

(6) Find the distance covered by an athlete in 25 hours if it covers a distance of 78 km in 15 hours.

(7) By running at a speed of 22 km/h how much distance an athlete will cover in 10 second?

(8) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 76 km in 17 hours.

(9) By running at a speed of 15 km/h how much distance a car will cover in 5 second?

(10) By running at a speed of 41 km/h how much distance an athlete will cover in 10 second?