Question

A train with a uniform Speed covers
distance of 288 km in 4 hours. At the same speed
a)How long will it take to cover distance of
360km?
b)How far will it travel
​

Answer 1

In 4 hours it covers 288 km

So in 1 hour, it covers 288/4= 72 km

1) the time taken to reach 360 km =360/72= 5 hours.

Answer 2

(a) The train will take 5 hours to cover distance of 360 km

(b) The train will travel 648 km in 9 hours

Correct question : A train with a uniform speed covers a distance of 288 km in 4 hours. At that same speed, (a) How long will it take to cover distance of 360 km? (b) How far will it travel in 9 hours

Given :

A train with a uniform speed covers a distance of 288 km in 4 hours

To find :

At that same speed,

(a) How long will it take to cover distance of 360 km?

(b) How far will it travel in 9 hours

Solution :

Step 1 of 3 :

Calculate speed of the train

Here it is given that the train with a uniform speed covers a distance of 288 km in 4 hours

Distance covered = 288 km

Time taken = 4 hours

∴ Speed of the train

$\displaystyle \sf = \frac{Distance \: covered}{Time \: taken}$

$\displaystyle \sf = \frac{288}{4} \: \: km/hr$

$\displaystyle \sf = 72 \: \: km/hr$

Step 2 of 3 :

Calculate time taken to cover distance of 360 km

Speed of the train = 72 km/hr

Distance to be covered = 360 km

∴ The time taken to cover distance of 360 km

$\displaystyle \sf = \frac{360}{72} \: \: hours$

$\displaystyle \sf = 5 \: \: hours$

Step 3 of 3 :

Calculate distance covered in 9 hours

Speed of the train = 72 km/hr

Time = 9 hours

∴ The distance covered in 9 hours

$\displaystyle \sf = (72 \times 9) \: \: km$

$\displaystyle \sf = 648 \: \: km$

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