Question 72

A man traveled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 80 km more in the same time. Find the actual distance travelled?

Solution

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Let actual distance be x km

Speed = 40 kmph

Increased speed = 40 + 16 = 56 kmph

New distance = (x + 80) km

Time is same given in question,

Time = $$\frac{Dis\tan ce}{Speed}$$

According to the question,

$$\frac{x}{40}=\frac{x+80}{56}$$

$$56x=40x+3200$$

$$16x=3200$$

x = 200 km.

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