Question 91
When Gopal walks from A to B and returns from B to A on cycle, then it takes him 46 minutes. By walking both ways, it takes him 75 minutes. If he rides cycle both ways then what will be the total time (in minutes)?
Solution
Let speed of walking = $$x$$ m/min and speed of cycling = $$y$$ m/min
Let distance between A and B = $$d$$ m
According to ques, when he walks both ways,
=> $$\frac{d}{x}+\frac{d}{x}=75$$
=> $$\frac{d}{x}=\frac{75}{2}=37.5$$
Also, $$\frac{d}{x}+\frac{d}{y}=46$$
=> $$\frac{d}{y}=46-37.5=8.5$$
$$\therefore$$ Time taken if he cycles both ways = $$\frac{d}{y}+\frac{d}{y}$$
= $$8.5+8.5=17$$ minutes
=> Ans - (B)
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