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

(1) Find the distance covered by a cyclist in 21 hours if it covers a distance of 64 km in 11 hours.

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

(3) At a certain speed a cyclist covers a distance of 92 km in 3 hours. How much distance will it cover in 4 hour?

(4) At a certain speed a scooty covers a distance of 62 km in 4 hours. How much distance will it cover in 5 hour?

(5) By running at a speed of 20 km/h how much distance a scooty will cover in 7 second?

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

(7) By running at a speed of 25 km/h how much distance a car will cover in 5 second?

(8) By running at a speed of 15 km/h how much distance an athlete will cover in 10 second?

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

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