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) Find the distance covered by a car in 20 hours if it covers a distance of 98 km in 10 hours.

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

(3) Find the distance covered by a ball in 26 hours if it covers a distance of 96 km in 16 hours.

(4) At a certain speed a car covers a distance of 76 km in 2 hours. How much distance will it cover in 3 hour?

(5) At a certain speed a scooty covers a distance of 96 km in 4 hours. How much distance will it cover in 5 hour?

(6) At a certain speed a scooty covers a distance of 86 km in 4 hours. How much distance will it cover in 5 hour?

(7) Find the distance covered by a cricket ball in 27 hours if it covers a distance of 80 km in 17 hours.

(8) Find the distance covered by a ball in 26 hours if it covers a distance of 54 km in 16 hours.

(9) By running at a speed of 39 km/h how much distance a cyclist will cover in 6 second?

(10) At a certain speed a cyclist covers a distance of 60 km in 3 hours. How much distance will it cover in 4 hour?