Question

Raj travels a part of his journey by taxi paying rs 15 per km and the rest by train paying rs 21 per km. if he travels a total of 450 km and pays rs. 8130 , the distance travelled by rail is?

a. 230 km

b. 260km

c. 180km

d.

Answer 1

Raj travels a total distance of 450 km and pays Rs. 8130.

Let the distance traveled by train be 'x' km.

and the remaining distance is traveled by taxi that is (450-x) km.

Now, Amount paid by travelling through taxi = (450-x)$\times$ 15

Amount paid by travelling via train = $x \times 21 = 21x$

since, total amount paid is Rs 8130.

Therefore, $(450-x) 15 + 21x = 8130$

$6750 - 15x + 21x = 8130$

$6750 + 6x = 8130$

$6x = 8130-6750$

$6x = 1380$

$x = \frac {1380}{6}$

x = 230 kilometers.

Therefore, distance traveled by Raj is 230 kilometers.

Answer 2

Answer:

Raj travels a total distance of 450 km and pays Rs. 8130.

Let the distance traveled by train be 'x' km.

and the remaining distance is traveled by taxi that is (450-x) km.

Now, Amount paid by travelling through taxi = (450-x) 15

Amount paid by travelling via train =

since, total amount paid is Rs 8130.

Therefore,

x = 230 kilometers.

Therefore, distance traveled by Raj is 230 kilometers.

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