Question

Two bus tickets from city A to B and three tickets from city A to C costs Rs. 90 but three tickets from city A to B and two tickets from city A to C costs Rs. 85. What are the fares for cities B and C from A ?

• A. Rs. 10, Rs. 20
• B. Rs. 15, Rs. 20
• C. Rs. 15, Rs. 14
• D. Rs. 20, Rs. 10

Answer 1

Answer:

B. Rs. 15, Rs. 20

Let the fare from A to B be (x) rupees and from A to C be (y) rupees.

Given:

$2x + 3y = 90$
$3x + 2y = 85$

Eliminate (x)

Multiply the first equation by 3:

6x + 9y = 270
Multiply the second equation by 2:

6x + 4y = 170
Subtract:

5y = 100
y = 20

Find (x)

Substitute (y=20) into (3x + 2y = 85):

3x + 40 = 85
3x = 45
x = 15

Answer

• Fare from A to B = ₹15

• Fare from A to C = ₹20