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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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