Time and Distance
Math MCQs

Question :    Find the distance covered by a bus in 24 hours if it covers a distance of 70 km in 14 hours.

Correct Answer  120 km

Solution & Explanation

Solution

Given,

Distance = 70 km

Time = 14 hour

Thus, distance covers in 24 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

= ⁷⁰/₁₄ = 5 km/h

Thus, speed = 5 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 5 km/h × 24 hour = 120 km

Thus, the distance covered in the given time = 120 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 70 km

Time = 14 hour

Thus, distance covers in 24 hour = ?

∵ In 14 hours the distance covered = 70 km

∴ In 1 hour the distance covered = ⁷⁰/₁₄ km

∴ In 24 hours the distance covered

= ⁷⁰/₁₄ × 24 km

= ^{70 × 24}/₁₄ km

= ¹⁶⁸⁰/₁₄ = 120 km

Thus, the distance covered in the given time = 120 km Answer

Similar Questions

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

(2) By running at a speed of 33 km/h how much distance a car will cover in 5 second?

(3) By running at a speed of 35 km/h how much distance a bus will cover in 9 second?

(4) Mr. John went to a nearby city by a train at a speed of 70 km/h and returned home by a taxi at a speed of 50 km/h. What is his average speed in total journey?

(5) A car covers a distance of 350 km in 10 hours. Find the speed and distance covered in 8 hours by the given car.

(6) At a certain speed a car covers a distance of 16 km in 2 hours. How much distance will it cover in 3 hour?

(7) Find the distance covered by a motor bike in 23 hours if it covers a distance of 94 km in 13 hours.

(8) Find the distance covered by a car in 20 hours if it covers a distance of 54 km in 10 hours.

(9) At a certain speed a cyclist covers a distance of 54 km in 3 hours. How much distance will it cover in 4 hour?

(10) Find the distance covered by a scooty in 22 hours if it covers a distance of 64 km in 12 hours.