Time and Distance
Math MCQs

Question :    Find the distance covered by a commet in 27 hours if it covers a distance of 100 km in 17 hours.

Correct Answer  158.76 km

Solution & Explanation

Solution

Given,

Distance = 100 km

Time = 17 hour

Thus, distance covers in 27 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

= ¹⁰⁰/₁₇ = 5.88 km/h

Thus, speed = 5.88 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5.88 km/h × 27 hour = 158.76 km

Thus, the distance covered in the given time = 158.76 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 100 km

Time = 17 hour

Thus, distance covers in 27 hour = ?

∵ In 17 hours the distance covered = 100 km

∴ In 1 hour the distance covered = ¹⁰⁰/₁₇ km

∴ In 27 hours the distance covered

= ¹⁰⁰/₁₇ × 27 km

= ^{100 × 27}/₁₇ km

= ²⁷⁰⁰/₁₇ = 158.76 km

Thus, the distance covered in the given time = 158.76 km Answer

Similar Questions

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(2) If a car is running with a speed of 90 km/h, then how much distance will it cover in 1 hour 15 minute?

(3) Find the distance covered by a moving object in 28 hours if it covers a distance of 74 km in 18 hours.

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

(5) By traveling a speed of 18 km/h, a bike completes a journey in 25 minute, then find the distance covered by him and how much time it will take cover a distance of 120 km?

(6) Find the distance covered by a bus in 24 hours if it covers a distance of 72 km in 14 hours.

(7) Find the distance covered by a ball in 26 hours if it covers a distance of 98 km in 16 hours.

(8) Find the distance covered by a moving object in 28 hours if it covers a distance of 84 km in 18 hours.

(9) By running at a speed of 6 km/h how much distance a motor bike will cover in 8 second?

(10) By running at a speed of 7 km/h how much distance a car will cover in 5 second?