Question 16

# Anand travelled 300 km by train and 200 km by taxi. It took him 5 h and 30 min. However, if he travels 260 km by train and 240 km by taxi, he takes 6 min more. The speed of the train is

Solution

1st case :

Distance travelled by train = 300km and by taxi = 200km

Let the speed of train be x km/hr and that of taxi be y km/hr.

Time taken by train = 300/x and time taken by taxi = 200/y hr

$$\ \frac{\ 300}{x}$$ = $$\ \frac{\ 200}{y}$$

Total time taken = 5hrs 30 mins = 5 1/2 hrs

$$\ \frac{\ 300}{x}$$ +$$\ \frac{\ 200}{y}$$= 5$$\ \frac{\ 1}{2}$$

On solving we get : 600y + 400x = 11xy  ----- Eq (1)

2nd case :

Distance travelled by train = 260 km and by taxi = 240 km

The speed of train and taxi will remain the same.

Time taken by train = $$\ \frac{\ 260}{x}$$hr and by taxi = $$\ \frac{\ 240}{y}$$ hr
$$\ \frac{\ 260}{x}$$ + $$\ \frac{\ 240}{y}$$ = 5hrs 36 mins

$$\ \frac{\ 260}{x}$$ + $$\ \frac{\ 240}{y}$$ = 5$$\ \frac{\ 3}{5}$$ on solving we get,

1300y + 1200x = 28xy   ---- Eq (2)

Solving 1 and 2 we get:

x=100 km/hr

Speed of the train = 100km/hr

• All Quant Formulas and shortcuts PDF
• 170+ previous papers with solutions PDF