Question

Reena travels 15 km to her home partly by auto, partly by bus. She takes 1 hour by auto and the remaining by bus. On the other hand, if she travels 5 km by auto and the remaining by bus, she takes 10 mins longer. Find speed of auto and bus.

Answer 1

Answer:

can you please cross check the question, of anything is wrong or missing?

Answer 2

Answer:

The speed of auto is 2.5 km/hr and the speed bus is 10 km/hr.

Solution:

Let the speed of auto be x km/hr and bus be y km.hr

From the given data,

$\frac{3}{x} + \frac{12}{y}$= 1 …. (1)

$\frac{5}{x} + \frac{10}{y}$ = 1 + 10/60 …. (2)

$\frac{10}{60}$because it takes extra 10 minutes to reach

Eq(1) and (2) can be expressed if $\frac{1}{x}$= A, $\frac{1}{y}$= B, as  

3A + 12B = 1  ..(3)

5A + 10B =$\frac{7}{6}$ ..(4)

Solving the equations, we get speed of auto = 2.5 km/hr and bus is 10 km/hr.

Result:

The speed of auto is 2.5 km/hr and the speed bus is 10 km/hr.