Question

type of box.
© Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane
Bus travels with average speed 60 km/hr and the average speed of aeroplane is
700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal
travelled by bus.​

Answer 1

Given:

✭ Total distance travelled = 1900 km

✭ Average speed of bus = 60 km/hr

✭ Average speed of aeroplane = 700 km/hr

✭ Total time taken = 5 hours

To Find:

◈ Distance travelled by bus

Solution:

Let distance travelled by bus be x km

Hence,

➝ Distance travelled by areoplane = 1900 - x km

We know that

➳ Time = Distance/Speed

➳ Time taken by bus = x/60

➳ Time taken by aeroplane = 1900 - x/700

Therefore,

⪼ x/60 + 1900 - x/700 = 5

[On cross multiplying]

➢ 700 x + 114000 - 60x/42000 = 5

➢ 640x + 114000 = 210000

➢ 640x = 210000 - 114000

➢ 640x = 96000

➢ x = 96000/640

➢ x = 150

Hence the distance travelled by bus is 150 km

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Answer 2

GivEn :-

• Average speed travelled by bus = 60km/h

• Average speed travelled by Aeroplane = 700km/h

• Total Time taken = 5 Hours

• Total distance Travelled = 1900km

To FinD :-

• The distance Travelled by Vishal By Bus

CalculaTioN :-

We are given to find the distance travelled by Vishal On Bus.

• Let x be the distance Travelled by Bus

• Distance Travelled by aeroplane = 1900 - x km

Now,

$\bold{ \pink{★Time = \frac{Displacement}{Speed} }{} }{}$

Time Taken by Bus = x Km / 60

Time Taken by aeroplane = 1900 - x / 700

$\frac{x}{60} + 1900 - \frac{x}{700} = 5 \\ \\ \bold{By \: cross \: multiplication}{} \\ \\ 700x + 114000 - \frac{60x}{4200} = 5 \\ \\ 640x + 11400 = 210000 \\ \\ 640x = 96000 \\ \\ \bold{ \red{x = 150km}{} }{}$

Hence the distance travelled by bus = 150km.