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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