Time and Distance
Math MCQs

Question :    Find the distance covered by an athlete in 25 hours if it covers a distance of 100 km in 15 hours.

Correct Answer  166.75 km

Solution & Explanation

Solution

Given,

Distance = 100 km

Time = 15 hour

Thus, distance covers in 25 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

= ¹⁰⁰/₁₅ = 6.67 km/h

Thus, speed = 6.67 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.67 km/h × 25 hour = 166.75 km

Thus, the distance covered in the given time = 166.75 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 100 km

Time = 15 hour

Thus, distance covers in 25 hour = ?

∵ In 15 hours the distance covered = 100 km

∴ In 1 hour the distance covered = ¹⁰⁰/₁₅ km

∴ In 25 hours the distance covered

= ¹⁰⁰/₁₅ × 25 km

= ^{100 × 25}/₁₅ km

= ²⁵⁰⁰/₁₅ = 166.75 km

Thus, the distance covered in the given time = 166.75 km Answer

Similar Questions

(1) By running at a speed of 23 km/h how much distance a car will cover in 5 second?

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

(3) By running at a speed of 47 km/h how much distance a motor bike will cover in 8 second?

(4) At a certain speed a car covers a distance of 8 km in 2 hours. How much distance will it cover in 3 hour?

(5) At a certain speed a car covers a distance of 68 km in 2 hours. How much distance will it cover in 3 hour?

(6) At a certain speed a cyclist covers a distance of 40 km in 3 hours. How much distance will it cover in 4 hour?

(7) Find the distance covered by an athlete in 25 hours if it covers a distance of 60 km in 15 hours.

(8) By running at a speed of 26 km/h how much distance a car will cover in 5 second?

(9) By running at a speed of 44 km/h how much distance a bus will cover in 9 second?

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