Time and Distance
Math MCQs

Question :    Find the distance covered by an athlete in 25 hours if it covers a distance of 58 km in 15 hours.

Correct Answer  96.75 km

Solution & Explanation

Solution

Given,

Distance = 58 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

= ⁵⁸/₁₅ = 3.87 km/h

Thus, speed = 3.87 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 3.87 km/h × 25 hour = 96.75 km

Thus, the distance covered in the given time = 96.75 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 58 km

Time = 15 hour

Thus, distance covers in 25 hour = ?

∵ In 15 hours the distance covered = 58 km

∴ In 1 hour the distance covered = ⁵⁸/₁₅ km

∴ In 25 hours the distance covered

= ⁵⁸/₁₅ × 25 km

= ^{58 × 25}/₁₅ km

= ¹⁴⁵⁰/₁₅ = 96.75 km

Thus, the distance covered in the given time = 96.75 km Answer

Similar Questions

(1) At a certain speed a cyclist covers a distance of 94 km in 3 hours. How much distance will it cover in 4 hour?

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

(3) By running at a speed of 23 km/h how much distance a bus will cover in 9 second?

(4) By running at a speed of 11 km/h how much distance a scooty will cover in 7 second?

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

(6) At a certain speed a cyclist covers a distance of 80 km in 3 hours. How much distance will it cover in 4 hour?

(7) At a certain speed a cyclist covers a distance of 78 km in 3 hours. How much distance will it cover in 4 hour?

(8) At a certain speed a cyclist covers a distance of 50 km in 3 hours. How much distance will it cover in 4 hour?

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

(10) By running at a speed of 43 km/h how much distance a scooty will cover in 7 second?