Question

Amit has to cover 800 kms for his college admissions. He covers 7/16 of the distance with a train, He then travels with bus and covers 30% of the remaining distance. And finally he rents a car and covers rest of the distance with it. How much distance did he cover with rental car?​

Answer 1

Answer -

• Amit covered 315 km with the rental car.

To find -

• The distance Amit covered with the rental car.

Step-by-step explanation -

• First of all, let's find the distance Amit covered with the train!

Give that -

• Amit covered 7/16 of the distance with train.

So, finding 7/16 of 800 km -

$\longrightarrow\rm\dfrac{7}{16} \: of \: 800$

$\longrightarrow\dfrac{7}{16} \times 800$

$\longrightarrow\cancel{\dfrac{5600}{16}}$

$\longrightarrow\rm 350 \: km$

• 7/16 of 800 km = 350 km.

Therefore -

$\sf Remaining \: distance = 800 - 350 = 450 \: km.$

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• Now let's find the distance Amit covered with bus!

Given that -

• Amit travels with bus and covers 30% of the remaining distance.

Here -

• The remaining distance = 450 km.

So, finding 30% of 450 km -

$\longrightarrow\tt 30\% \: of \: 450$

$\longrightarrow\tt\dfrac{3\!\!\!\not0}{1\!\!\!\not0\!\!\!\not0} \times 45\!\!\!\not0$

$\longrightarrow\tt \dfrac{3}{1} \times 45$

$\longrightarrow\tt 3 \times 45$

$\longrightarrow\tt 135 \: km$

• 30% of 450 km = 135 km.

Therefore -

$\sf Remaining \: distance = 450 - 135 = 315 \: km.$

__________________________

• At last, let's find the distance Amit covers with the rental car!

Given that -

• Amit finally rents a car and covers rest of the distance with it.

Here -

• The remaining distance = 315 km.

Hence -

• Amit covered 315 km with the rental car.

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Answer 2

Given: Total distance 800 km

            7/16 of the distance covered with the train

            remaining 30% is completed with the bus

To find: Distance covered by the rental car

Solution:

Distance covered by the train is =$\frac{7}{16} *800$

                                                        =350 km

Distance left after covered by train is = 450 km

Distance covered by the bus= 30% of 450

                                                        =$\frac{30}{100} *450$

                                                        = 135 km

After renting a car he covers the remaining distance :

Distance covered by car = Total distance - distance by train+ distance by bus

Distance covered by car  =800-350-135

Distance covered by car  =315

Distance covered by the rental car is 315 km

Therefore he covered 450km by train , 135 km by bus and 315 by Car.