Question

a traveller covers 2/15 of the total distance by train, 9/20 of the total distance by bus and remaining distance of 10 km on bicycle. find the total distance that he covers

Answer 1

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Answer 2

The total distance he covers is 24 km.

Step-by-step explanation:

Consider the provided information.

A traveler covers 2/15 of the total distance by train, 9/20 of the total distance by bus.

Let the total distance is x.

He covers 2/15 of x by train and 9/20 of x by bus.

So total distance covers by train and bus is:

$\frac{2}{15}\times x+\frac{9}{20}\times x=\frac{2x}{15}+\frac{9x}{20}\\\\\frac{8x+27x}{60}=\frac{35x}{60}$

The traveler covers $\frac{35x}{60}$ distance by bus and train.

Thus the remaining distance is:

$x-\frac{35x}{60}=\frac{25x}{60}=\frac{5x}{12}$

It is given that the remaining distance is 10 km

Therefore,

$\frac{5x}{12}=10\\\\x=24$

Hence, the total distance he covers is 24 km.

#Learn more

A alone can complete a piece of work in 6 days and B alone can complete the same piece of work in 12 days. In how many days can A and B together complete the same piece of work

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