Question 18

Anil travelled 300 km by bus and 200 km by taxi. For this, it took him 5 hours and 30 minutes. However if he travels 260 km by bus and 240 km by taxi then he takes 6 minutes more. The speed of the bus is ________ km/hour.

Solution

Let the speed of bus be b km/hr and the speed of taxi be t km/hr.

It is given,

$$\frac{300}{b}+\frac{200}{t}=\frac{11}{2}$$ ...... (1)

$$\frac{260}{b}+\frac{240}{t}=\frac{56}{10}$$ ...... (2)

(1)*6 => $$\frac{1800}{b}+\frac{1200}{t}=\frac{66}{2}$$ ...... (3)

(2)*5 => $$\frac{1300}{b}+\frac{1200}{t}=\frac{56}{2}$$ ...... (4)

(3)-(4), we get

$$\frac{500}{b}=5$$

$$b=100$$

The answer is option A.

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