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

(2) By running at a speed of 27 km/h how much distance an athlete will cover in 10 second?

(3) By running at a speed of 11 km/h how much distance a bus will cover in 9 second?

(4) By running at a speed of 41 km/h how much distance a scooty will cover in 7 second?

(5) If a cyclist takes 5 hours to cover a distance of 30 km, then what will be his speed in meter per minute?

(6) By running at a speed of 23 km/h how much distance an athlete will cover in 10 second?

(7) Mr. Robert goes to his office everday by a cycle and returns home everyday by an electric cycle. If the speed of the cycle is 15 km/h and the speed of the electric bike is 25 km/h, then find his average speed in to and fro journey.

(8) By running at a speed of 50 km/h how much distance a car will cover in 5 second?

(9) Find the distance covered by a cyclist in 21 hours if it covers a distance of 80 km in 11 hours.

(10) By running at a speed of 17 km/h how much distance an athlete will cover in 10 second?