Time and Distance
Math MCQs

Question :    Find the distance covered by a cyclist in 21 hours if it covers a distance of 60 km in 11 hours.

Correct Answer  114.45 km

Solution & Explanation

Solution

Given,

Distance = 60 km

Time = 11 hour

Thus, distance covers in 21 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

= ⁶⁰/₁₁ = 5.45 km/h

Thus, speed = 5.45 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.45 km/h × 21 hour = 114.45 km

Thus, the distance covered in the given time = 114.45 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 60 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

∵ In 11 hours the distance covered = 60 km

∴ In 1 hour the distance covered = ⁶⁰/₁₁ km

∴ In 21 hours the distance covered

= ⁶⁰/₁₁ × 21 km

= ^{60 × 21}/₁₁ km

= ¹²⁶⁰/₁₁ = 114.45 km

Thus, the distance covered in the given time = 114.45 km Answer

Similar Questions

(1) By running at a speed of 16 km/h how much distance a bus will cover in 9 second?

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

(3) Find the distance covered by a moving object in 28 hours if it covers a distance of 88 km in 18 hours.

(4) Find the distance covered by a car in 20 hours if it covers a distance of 80 km in 10 hours.

(5) Find the distance covered by an athlete in 25 hours if it covers a distance of 62 km in 15 hours.

(6) At a certain speed a car covers a distance of 4 km in 2 hours. How much distance will it cover in 3 hour?

(7) Find the distance covered by a cyclist in 21 hours if it covers a distance of 74 km in 11 hours.

(8) At a certain speed a cyclist covers a distance of 20 km in 3 hours. How much distance will it cover in 4 hour?

(9) At a certain speed a cyclist covers a distance of 26 km in 3 hours. How much distance will it cover in 4 hour?

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